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23156672 = 2671137127
BaseRepresentation
bin101100001010…
…1011111000000
31121120110222112
41120111133000
521412003142
62144154452
7400554110
oct130253700
947513875
1023156672
1112086a50
127908a28
134a4a196
14310b040
152076382
hex16157c0

23156672 has 112 divisors (see below), whose sum is σ = 59301888. Its totient is φ = 8709120.

The previous prime is 23156671. The next prime is 23156681. The reversal of 23156672 is 27665132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23156671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 182273 + ... + 182399.

Almost surely, 223156672 is an apocalyptic number.

23156672 is a gapful number since it is divisible by the number (22) 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 23156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29650944).

23156672 is an abundant number, since it is smaller than the sum of its proper divisors (36145216).

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

23156672 is a wasteful number, since it uses less digits than its factorization.

23156672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 23156672 is about 4812.1379863840. The cubic root of 23156672 is about 285.0309682159.

The spelling of 23156672 in words is "twenty-three million, one hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 64 74 77 88 112 127 148 154 176 224 254 259 296 308 352 407 448 508 518 592 616 704 814 889 1016 1036 1184 1232 1397 1628 1778 2032 2072 2368 2464 2794 2849 3256 3556 4064 4144 4699 4928 5588 5698 6512 7112 8128 8288 9398 9779 11176 11396 13024 14224 16576 18796 19558 22352 22792 26048 28448 32893 37592 39116 44704 45584 51689 56896 65786 75184 78232 89408 91168 103378 131572 150368 156464 182336 206756 263144 300736 312928 361823 413512 526288 625856 723646 827024 1052576 1447292 1654048 2105152 2894584 3308096 5789168 11578336 23156672