Search a number
-
+
22244260168 = 23134326318913
BaseRepresentation
bin10100101101110111…
…000111100101001000
32010102020111111102201
4110231313013211020
5331024012311133
614115135405544
71415143043314
oct245567074510
963366444381
1022244260168
119485339999
1243896838b4
132136634c30
1411103a4b44
158a2ccbd7d
hex52ddc7948

22244260168 has 64 divisors (see below), whose sum is σ = 46138055040. Its totient is φ = 9989167104.

The previous prime is 22244260153. The next prime is 22244260307. The reversal of 22244260168 is 86106244222.

It is a super-2 number, since 2×222442601682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166680 + ... + 1185592.

It is an arithmetic number, because the mean of its divisors is an integer number (720907110).

Almost surely, 222244260168 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 22244260168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23069027520).

22244260168 is an abundant number, since it is smaller than the sum of its proper divisors (23893794872).

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

22244260168 is a wasteful number, since it uses less digits than its factorization.

22244260168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19238 (or 19234 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 22244260168 in words is "twenty-two billion, two hundred forty-four million, two hundred sixty thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 263 344 526 559 1052 1118 2104 2236 3419 4472 6838 11309 13676 18913 22618 27352 37826 45236 75652 90472 147017 151304 245869 294034 491738 588068 813259 983476 1176136 1626518 1966952 3253036 4974119 6506072 9948238 10572367 19896476 21144734 39792952 42289468 64663547 84578936 129327094 213887117 258654188 427774234 517308376 855548468 1711096936 2780532521 5561065042 11122130084 22244260168