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23249664 = 283210091
BaseRepresentation
bin101100010110…
…0001100000000
31121202012112200
41120230030000
521422442124
62150153200
7401422164
oct130541400
947665480
1023249664
111213a8a9
127952800
134a805c9
143132ca4
152093bc9
hex162c300

23249664 has 54 divisors (see below), whose sum is σ = 67041156. Its totient is φ = 7749120.

The previous prime is 23249663. The next prime is 23249687. The reversal of 23249664 is 46694232.

It is a super-2 number, since 2×232496642 = 1081093752225792, which contains 22 as substring.

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 (23249663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2742 + ... + 7349.

Almost surely, 223249664 is an apocalyptic number.

23249664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23249664 is an abundant number, since it is smaller than the sum of its proper divisors (43791492).

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

23249664 is a wasteful number, since it uses less digits than its factorization.

23249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10113 (or 10096 counting only the distinct ones).

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

The square root of 23249664 is about 4821.7905387937. The cubic root of 23249664 is about 285.4119987681.

The spelling of 23249664 in words is "twenty-three million, two hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 10091 20182 30273 40364 60546 80728 90819 121092 161456 181638 242184 322912 363276 484368 645824 726552 968736 1291648 1453104 1937472 2583296 2906208 3874944 5812416 7749888 11624832 23249664