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22923264 = 211371341
BaseRepresentation
bin101011101110…
…0100000000000
31121010121210210
41113130200000
521332021024
62135154120
7365562450
oct127344000
947117723
1022923264
1111a37651
127815940
134997b80
143089d60
15202c129
hex15dc800

22923264 has 192 divisors, whose sum is σ = 77051520. Its totient is φ = 5898240.

The previous prime is 22923233. The next prime is 22923269. The reversal of 22923264 is 46232922.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22923269) 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, 559084 + ... + 559124.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 222923264 is an apocalyptic number.

22923264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

22923264 is an abundant number, since it is smaller than the sum of its proper divisors (54128256).

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

22923264 is a wasteful number, since it uses less digits than its factorization.

22923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 22923264 is about 4787.8245581892. The cubic root of 22923264 is about 284.0700746212.

The spelling of 22923264 in words is "twenty-two million, nine hundred twenty-three thousand, two hundred sixty-four".