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23166144 = 2632371087
BaseRepresentation
bin101100001011…
…1110011000000
31121120221222100
41120113303000
521412304034
62144310400
7400623531
oct130276300
947527870
1023166144
1112093081
127912400
134a515a1
143110688
152079099
hex1617cc0

23166144 has 84 divisors (see below), whose sum is σ = 68258944. Its totient is φ = 7506432.

The previous prime is 23166139. The next prime is 23166151. The reversal of 23166144 is 44166132.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20769 + ... + 21855.

Almost surely, 223166144 is an apocalyptic number.

23166144 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 23166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34129472).

23166144 is an abundant number, since it is smaller than the sum of its proper divisors (45092800).

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

23166144 is a wasteful number, since it uses less digits than its factorization.

23166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1129 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 23166144 is about 4813.1220636921. The cubic root of 23166144 is about 285.0698259197.

The spelling of 23166144 in words is "twenty-three million, one hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1087 1184 1332 1776 2174 2368 2664 3261 3552 4348 5328 6522 7104 8696 9783 10656 13044 17392 19566 21312 26088 34784 39132 40219 52176 69568 78264 80438 104352 120657 156528 160876 208704 241314 313056 321752 361971 482628 626112 643504 723942 965256 1287008 1447884 1930512 2574016 2895768 3861024 5791536 7722048 11583072 23166144