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22061664216 = 23322317217741
BaseRepresentation
bin10100100010111110…
…100100011111011000
32002221111220122212200
4110202332210133120
5330140241223331
614045054010200
71410465023514
oct244276443730
962844818780
1022061664216
1193a1263949
1243384a6960
1321078625a7
1410d4033144
15891c5e5e6
hex522fa47d8

22061664216 has 96 divisors (see below), whose sum is σ = 62392468320. Its totient is φ = 7029158400.

The previous prime is 22061664143. The next prime is 22061664221. The reversal of 22061664216 is 61246616022.

22061664216 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 1 + 6 + 642 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2846106 + ... + 2853846.

It is an arithmetic number, because the mean of its divisors is an integer number (649921545).

Almost surely, 222061664216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22061664216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31196234160).

22061664216 is an abundant number, since it is smaller than the sum of its proper divisors (40330804104).

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

22061664216 is a wasteful number, since it uses less digits than its factorization.

22061664216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9497 (or 9490 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22061664216 in words is "twenty-two billion, sixty-one million, six hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 1721 3442 5163 6884 7741 10326 13768 15482 15489 20652 23223 30964 30978 39583 41304 46446 61928 61956 69669 79166 92892 118749 123912 139338 158332 178043 185784 237498 278676 316664 356086 356247 474996 534129 557352 712172 712494 949992 1068258 1424344 1424988 1602387 2136516 2849976 3204774 4273032 6409548 12819096 13322261 26644522 39966783 53289044 79933566 106578088 119900349 159867132 239800698 306412003 319734264 479601396 612824006 919236009 959202792 1225648012 1838472018 2451296024 2757708027 3676944036 5515416054 7353888072 11030832108 22061664216