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10222121220 = 22351964713859
BaseRepresentation
bin10011000010100100…
…10011000100000100
3222101101201120011020
421201102103010010
5131413330334340
64410155311140
7511212411453
oct114122230404
928341646136
1010222121220
114376136a73
121b9344b4b0
13c6ba1b54c
146cd862b9a
153ec6369d0
hex261493104

10222121220 has 96 divisors (see below), whose sum is σ = 30177100800. Its totient is φ = 2578253184.

The previous prime is 10222121213. The next prime is 10222121237. The reversal of 10222121220 is 2212122201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10222121220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730651 + ... + 744509.

It is an arithmetic number, because the mean of its divisors is an integer number (314344800).

Almost surely, 210222121220 is an apocalyptic number.

10222121220 is a gapful number since it is divisible by the number (10) 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 10222121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088550400).

10222121220 is an abundant number, since it is smaller than the sum of its proper divisors (19954979580).

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

10222121220 is a wasteful number, since it uses less digits than its factorization.

10222121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14537 (or 14535 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222121220 its reverse (2212122201), we get a palindrome (12434243421).

The spelling of 10222121220 in words is "ten billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 647 1140 1294 1941 2588 3235 3882 6470 7764 9705 12293 12940 13859 19410 24586 27718 36879 38820 41577 49172 55436 61465 69295 73758 83154 122930 138590 147516 166308 184395 207885 245860 263321 277180 368790 415770 526642 737580 789963 831540 1053284 1316605 1579926 2633210 3159852 3949815 5266420 7899630 8966773 15799260 17933546 26900319 35867092 44833865 53800638 89667730 107601276 134501595 170368687 179335460 269003190 340737374 511106061 538006380 681474748 851843435 1022212122 1703686870 2044424244 2555530305 3407373740 5111060610 10222121220