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23161216 = 271331449
BaseRepresentation
bin101100001011…
…0100110000000
31121120201012211
41120112212000
521412124331
62144231504
7400603261
oct130264600
947521184
1023161216
111208a401
12790b594
134a4c280
14310c968
1520778b1
hex1616980

23161216 has 64 divisors (see below), whose sum is σ = 51408000. Its totient is φ = 10321920.

The previous prime is 23161199. The next prime is 23161241. The reversal of 23161216 is 61216132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51360 + ... + 51808.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 223161216 is an apocalyptic number.

23161216 is a gapful number since it is divisible by the number (26) 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 23161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704000).

23161216 is an abundant number, since it is smaller than the sum of its proper divisors (28246784).

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

23161216 is a wasteful number, since it uses less digits than its factorization.

23161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 23161216 is about 4812.6101026366. The cubic root of 23161216 is about 285.0496107337.

Adding to 23161216 its reverse (61216132), we get a palindrome (84377348).

The spelling of 23161216 in words is "twenty-three million, one hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 449 496 806 832 898 992 1612 1664 1796 1984 3224 3592 3968 5837 6448 7184 11674 12896 13919 14368 23348 25792 27838 28736 46696 51584 55676 57472 93392 111352 180947 186784 222704 361894 373568 445408 723788 747136 890816 1447576 1781632 2895152 5790304 11580608 23161216