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22934664 = 233435393
BaseRepresentation
bin101011101111…
…1010010001000
31121011012110000
41113133102020
521332402124
62135323000
7365640624
oct127372210
947135400
1022934664
1111a45175
127820460
1349a010c
143090184
1520306c9
hex15df488

22934664 has 40 divisors (see below), whose sum is σ = 64240110. Its totient is φ = 7644672.

The previous prime is 22934663. The next prime is 22934687. The reversal of 22934664 is 46643922.

It can be written as a sum of positive squares in only one way, i.e., 12320100 + 10614564 = 3510^2 + 3258^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22934663) 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 9 ways as a sum of consecutive naturals, for example, 17049 + ... + 18344.

Almost surely, 222934664 is an apocalyptic number.

22934664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22934664 is an abundant number, since it is smaller than the sum of its proper divisors (41305446).

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

22934664 is a wasteful number, since it uses less digits than its factorization.

22934664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35411 (or 35398 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 22934664 is about 4789.0149300248. The cubic root of 22934664 is about 284.1171572439.

The spelling of 22934664 in words is "twenty-two million, nine hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 35393 70786 106179 141572 212358 283144 318537 424716 637074 849432 955611 1274148 1911222 2548296 2866833 3822444 5733666 7644888 11467332 22934664