Search a number
-
+
22101755652 = 22325913179433
BaseRepresentation
bin10100100101010111…
…100000011100000100
32010001022100111222200
4110211113200130010
5330231022140102
614053045154500
71411462552254
oct244527403404
963038314880
1022101755652
119411957169
1243499bba30
132112c5b932
1410d94ab964
1589552d51c
hex5255e0704

22101755652 has 72 divisors (see below), whose sum is σ = 57249672480. Its totient is φ = 7187007360.

The previous prime is 22101755623. The next prime is 22101755653. The reversal of 22101755652 is 25655710122.

22101755652 is a `hidden beast` number, since 2 + 21 + 0 + 1 + 75 + 565 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22101755653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238528 + ... + 317960.

It is an arithmetic number, because the mean of its divisors is an integer number (795134340).

Almost surely, 222101755652 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 22101755652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28624836240).

22101755652 is an abundant number, since it is smaller than the sum of its proper divisors (35147916828).

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

22101755652 is a wasteful number, since it uses less digits than its factorization.

22101755652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79633 (or 79628 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 22101755652 in words is "twenty-two billion, one hundred one million, seven hundred fifty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 131 177 236 262 354 393 524 531 708 786 1062 1179 1572 2124 2358 4716 7729 15458 23187 30916 46374 69561 79433 92748 139122 158866 238299 278244 317732 476598 714897 953196 1429794 2859588 4686547 9373094 10405723 14059641 18746188 20811446 28119282 31217169 41622892 42178923 56238564 62434338 84357846 93651507 124868676 168715692 187303014 374606028 613937657 1227875314 1841812971 2455750628 3683625942 5525438913 7367251884 11050877826 22101755652