Search a number
-
+
22108242888 = 2332307058929
BaseRepresentation
bin10100100101110000…
…010000001111001000
32010001202120002210200
4110211300100033020
5330234202233023
614053440212200
71411601651424
oct244560201710
963052502720
1022108242888
119415588116
12435000a060
1321143c0634
1410da2b9b84
15895db0743
hex525c103c8

22108242888 has 24 divisors (see below), whose sum is σ = 59876491350. Its totient is φ = 7369414272.

The previous prime is 22108242883. The next prime is 22108242907. The reversal of 22108242888 is 88824280122.

22108242888 is a `hidden beast` number, since 2 + 210 + 8 + 2 + 428 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21375024804 + 733218084 = 146202^2 + 27078^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×221082428883 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22108242883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153529393 + ... + 153529536.

Almost surely, 222108242888 is an apocalyptic number.

It is an amenable number.

22108242888 is an abundant number, since it is smaller than the sum of its proper divisors (37768248462).

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

22108242888 is a wasteful number, since it uses less digits than its factorization.

22108242888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307058941 (or 307058934 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 22108242888 in words is "twenty-two billion, one hundred eight million, two hundred forty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 307058929 614117858 921176787 1228235716 1842353574 2456471432 2763530361 3684707148 5527060722 7369414296 11054121444 22108242888