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23134144 = 2611171933
BaseRepresentation
bin101100000111…
…1111111000000
31121112100002011
41120033333000
521410243034
62143502304
7400431325
oct130177700
947470064
1023134144
1112071030
1278b7994
134a3cb57
143102b4c
15206e864
hex160ffc0

23134144 has 56 divisors (see below), whose sum is σ = 53053488. Its totient is φ = 9891840.

The previous prime is 23134121. The next prime is 23134147. The reversal of 23134144 is 44143132.

It is a super-2 number, since 2×231341442 = 1070377237225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23134147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11002 + ... + 12934.

Almost surely, 223134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26526744).

23134144 is an abundant number, since it is smaller than the sum of its proper divisors (29919344).

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

23134144 is a wasteful number, since it uses less digits than its factorization.

23134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1963 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 23134144 is about 4809.7966692990. The cubic root of 23134144 is about 284.9385073035.

Adding to 23134144 its reverse (44143132), we get a palindrome (67277276).

The spelling of 23134144 in words is "twenty-three million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 1933 2992 3866 5984 7732 11968 15464 21263 30928 32861 42526 61856 65722 85052 123712 131444 170104 262888 340208 361471 525776 680416 722942 1051552 1360832 1445884 2103104 2891768 5783536 11567072 23134144