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23217264 = 2432731743
BaseRepresentation
bin101100010010…
…0010001110000
31121200120002200
41120210101300
521420423024
62145343200
7401225550
oct130442160
947616080
1023217264
1112118524
127937b00
134a6b935
143125160
1520892c9
hex1624470

23217264 has 120 divisors (see below), whose sum is σ = 76756992. Its totient is φ = 6410880.

The previous prime is 23217247. The next prime is 23217269. The reversal of 23217264 is 46271232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23217269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30877 + ... + 31619.

Almost surely, 223217264 is an apocalyptic number.

23217264 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 23217264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38378496).

23217264 is an abundant number, since it is smaller than the sum of its proper divisors (53539728).

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

23217264 is a wasteful number, since it uses less digits than its factorization.

23217264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 23217264 is about 4818.4296196998. The cubic root of 23217264 is about 285.2793567409.

Adding to 23217264 its reverse (46271232), we get a palindrome (69488496).

The spelling of 23217264 in words is "twenty-three million, two hundred seventeen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 743 744 868 1008 1116 1302 1486 1488 1736 1953 2229 2232 2604 2972 3472 3906 4458 4464 5201 5208 5944 6687 7812 8916 10402 10416 11888 13374 15603 15624 17832 20804 23033 26748 31206 31248 35664 41608 46066 46809 53496 62412 69099 83216 92132 93618 106992 124824 138198 161231 184264 187236 207297 249648 276396 322462 368528 374472 414594 483693 552792 644924 748944 829188 967386 1105584 1289848 1451079 1658376 1934772 2579696 2902158 3316752 3869544 5804316 7739088 11608632 23217264