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22100045864 = 23137910312609
BaseRepresentation
bin10100100101010000…
…111111000000101000
32010001012010122121012
4110211100333000220
5330230102431424
614052544403052
71411442201411
oct244520770050
963035118535
1022100045864
119410999616
124349316488
1321127b0620
1410d9184808
158952e1b0e
hex52543f028

22100045864 has 64 divisors (see below), whose sum is σ = 45251136000. Its totient is φ = 10057282560.

The previous prime is 22100045819. The next prime is 22100045867. The reversal of 22100045864 is 46854000122.

It is a self number, because there is not a number n which added to its sum of digits gives 22100045864.

It is not an unprimeable number, because it can be changed into a prime (22100045867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8469392 + ... + 8472000.

It is an arithmetic number, because the mean of its divisors is an integer number (707049000).

Almost surely, 222100045864 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 22100045864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22625568000).

22100045864 is an abundant number, since it is smaller than the sum of its proper divisors (23151090136).

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

22100045864 is a wasteful number, since it uses less digits than its factorization.

22100045864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 22100045864 its reverse (46854000122), we get a palindrome (68954045986).

The spelling of 22100045864 in words is "twenty-two billion, one hundred million, forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 1031 2054 2062 2609 4108 4124 5218 8216 8248 10436 13403 20872 26806 33917 53612 67834 81449 107224 135668 162898 206111 271336 325796 412222 651592 824444 1058837 1648888 2117674 2679443 2689879 4235348 5358886 5379758 8470696 10717772 10759516 21435544 21519032 34968427 69936854 139873708 212500441 279747416 425000882 850001764 1700003528 2762505733 5525011466 11050022932 22100045864