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23144268 = 223735623
BaseRepresentation
bin101100001001…
…0011101001100
31121112211222010
41120102131030
521411104033
62144021220
7400503000
oct130223514
947484863
1023144268
11120786a4
127901810
134a44644
143106700
152072863
hex161274c

23144268 has 48 divisors (see below), whose sum is σ = 62988800. Its totient is φ = 6611472.

The previous prime is 23144243. The next prime is 23144273. The reversal of 23144268 is 86244132.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1305 + ... + 6927.

Almost surely, 223144268 is an apocalyptic number.

23144268 is a gapful number since it is divisible by the number (28) 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 23144268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31494400).

23144268 is an abundant number, since it is smaller than the sum of its proper divisors (39844532).

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

23144268 is a wasteful number, since it uses less digits than its factorization.

23144268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5635 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 23144268 is about 4810.8489895236. The cubic root of 23144268 is about 284.9800663190.

The spelling of 23144268 in words is "twenty-three million, one hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 5623 11246 16869 22492 33738 39361 67476 78722 118083 157444 236166 275527 472332 551054 826581 1102108 1653162 1928689 3306324 3857378 5786067 7714756 11572134 23144268