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22212320970 = 23571011676271
BaseRepresentation
bin10100101011111101…
…010001111011001010
32010100000101211002110
4110223331101323022
5330442323232340
614112035043150
71414304420160
oct245375217312
963300354073
1022212320970
119469304564
12437aa404b6
13212cb313b8
14110a04d230
158a00bd680
hex52bf51eca

22212320970 has 128 divisors (see below), whose sum is σ = 61906747392. Its totient is φ = 4995936000.

The previous prime is 22212320947. The next prime is 22212321017. The reversal of 22212320970 is 7902321222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3538935 + ... + 3545205.

It is an arithmetic number, because the mean of its divisors is an integer number (483646464).

Almost surely, 222212320970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22212320970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30953373696).

22212320970 is an abundant number, since it is smaller than the sum of its proper divisors (39694426422).

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

22212320970 is a wasteful number, since it uses less digits than its factorization.

22212320970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6556.

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 22212320970 in words is "twenty-two billion, two hundred twelve million, three hundred twenty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 167 202 210 303 334 501 505 606 707 835 1002 1010 1169 1414 1515 1670 2121 2338 2505 3030 3507 3535 4242 5010 5845 6271 7014 7070 10605 11690 12542 16867 17535 18813 21210 31355 33734 35070 37626 43897 50601 62710 84335 87794 94065 101202 118069 131691 168670 188130 219485 236138 253005 263382 354207 438970 506010 590345 633371 658455 708414 1047257 1180690 1266742 1316910 1771035 1900113 2094514 3141771 3166855 3542070 3800226 4433597 5236285 6283542 6333710 7330799 8867194 9500565 10472570 13300791 14661598 15708855 19001130 21992397 22167985 26601582 31417710 36653995 43984794 44335970 66503955 73307990 105772957 109961985 133007910 211545914 219923970 317318871 528864785 634637742 740410699 1057729570 1480821398 1586594355 2221232097 3173188710 3702053495 4442464194 7404106990 11106160485 22212320970