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2122201022220 = 223551124338839
BaseRepresentation
bin11110111000011101000…
…010011011111100001100
321111212202211121222100000
4132320131002123330030
5234232231430202340
64302531541004300
7306216056024616
oct36703502337414
97455684558300
102122201022220
11749025173534
122a33689b3690
1312517974a446
1474a0225bdb6
153a30b302d30
hex1ee1d09bf0c

2122201022220 has 144 divisors (see below), whose sum is σ = 6676528884480. Its totient is φ = 565855367616.

The previous prime is 2122201022219. The next prime is 2122201022231. The reversal of 2122201022220 is 222201022212.

2122201022220 is a `hidden beast` number, since 212 + 220 + 10 + 2 + 2 + 220 = 666.

It is a super-2 number, since 2×21222010222202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122201022193 and 2122201022202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54621561 + ... + 54660399.

It is an arithmetic number, because the mean of its divisors is an integer number (46364783920).

Almost surely, 22122201022220 is an apocalyptic number.

2122201022220 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 2122201022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338264442240).

2122201022220 is an abundant number, since it is smaller than the sum of its proper divisors (4554327862260).

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

2122201022220 is a wasteful number, since it uses less digits than its factorization.

2122201022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50106 (or 50092 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122201022220 its reverse (222201022212), we get a palindrome (2344402044432).

The spelling of 2122201022220 in words is "two trillion, one hundred twenty-two billion, two hundred one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 11243 22486 33729 38839 44972 56215 67458 77678 101187 112430 116517 134916 155356 168645 194195 202374 224860 233034 303561 337290 349551 388390 404748 466068 505935 582585 607122 674580 699102 776780 910683 1011870 1048653 1165170 1214244 1398204 1517805 1747755 1821366 2023740 2097306 2330340 2732049 3035610 3145959 3495510 3642732 4194612 4553415 5243265 5464098 6071220 6291918 6991020 9106830 9437877 10486530 10928196 12583836 13660245 15729795 18213660 18875754 20973060 27320490 31459590 37751508 47189385 54640980 62919180 94378770 188757540 436666877 873333754 1310000631 1746667508 2183334385 2620001262 3930001893 4366668770 5240002524 6550003155 7860003786 8733337540 11790005679 13100006310 15720007572 19650009465 23580011358 26200012620 35370017037 39300018930 47160022716 58950028395 70740034074 78600037860 106110051111 117900056790 141480068148 176850085185 212220102222 235800113580 353700170370 424440204444 530550255555 707400340740 1061100511110 2122201022220