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210022210002220 = 2257112114471083079
BaseRepresentation
bin101111110000001110011011…
…001110001101110100101100
31000112121221000220220022202121
4233300032123032031310230
5210012000441230032340
62022402512112002324
762144414102614150
oct5760163316156454
91015557026808677
10210022210002220
1160a12a12307800
121b67b8652303a4
139026017916245
1439c11b475b060
15194325dc9394a
hexbf039b38dd2c

210022210002220 has 144 divisors (see below), whose sum is σ = 554090973649920. Its totient is φ = 65455688960640.

The previous prime is 210022210002149. The next prime is 210022210002223. The reversal of 210022210002220 is 22200012220012.

It is a super-2 number, since 2×2100222100022202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210022210002194 and 210022210002203.

It is not an unprimeable number, because it can be changed into a prime (210022210002223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193370641 + ... + 194453719.

It is an arithmetic number, because the mean of its divisors is an integer number (3847853983680).

Almost surely, 2210022210002220 is an apocalyptic number.

210022210002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210022210002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277045486824960).

210022210002220 is an abundant number, since it is smaller than the sum of its proper divisors (344068763647700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210022210002220 is a wasteful number, since it uses less digits than its factorization.

210022210002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094564 (or 1094551 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 210022210002220 its reverse (22200012220012), we get a palindrome (232222222222232).

The spelling of 210022210002220 in words is "two hundred ten trillion, twenty-two billion, two hundred ten million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 11447 16940 22894 45788 57235 80129 114470 125917 160258 228940 251834 320516 400645 503668 629585 801290 881419 1083079 1259170 1385087 1602580 1762838 2166158 2518340 2770174 3525676 4332316 4407095 5415395 5540348 6925435 7581553 8814190 9695609 10830790 11913869 13850870 15163106 17628380 19391218 21661580 23827738 27701740 30326212 37907765 38782436 47655476 48478045 59569345 75815530 83397083 96956090 119138690 131052559 151631060 166794166 193912180 238277380 262105118 333588332 416985415 524210236 655262795 833970830 917367913 1310525590 1667941660 1834735826 2621051180 3669471652 4586839565 9173679130 12398005313 18347358260 24796010626 49592021252 61990026565 86786037191 123980053130 136378058443 173572074382 247960106260 272756116886 347144148764 433930185955 545512233772 681890292215 867860371910 954646409101 1363780584430 1500158642873 1735720743820 1909292818202 2727561168860 3000317285746 3818585636404 4773232045505 6000634571492 7500793214365 9546464091010 10501110500111 15001586428730 19092928182020 21002221000222 30003172857460 42004442000444 52505552500555 105011105001110 210022210002220