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23133488 = 2472191553
BaseRepresentation
bin101100000111…
…1110100110000
31121112022011212
41120033310300
521410232423
62143455252
7400426400
oct130176460
947468155
1023133488
1112070594
1278b7528
134a3c771
143102800
15206e578
hex160fd30

23133488 has 60 divisors (see below), whose sum is σ = 54918360. Its totient is φ = 9386496.

The previous prime is 23133437. The next prime is 23133497. The reversal of 23133488 is 88433132.

It is a happy number.

It is a super-2 number, since 2×231334882 = 1070316534092288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14120 + ... + 15672.

It is an arithmetic number, because the mean of its divisors is an integer number (915306).

Almost surely, 223133488 is an apocalyptic number.

23133488 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 23133488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27459180).

23133488 is an abundant number, since it is smaller than the sum of its proper divisors (31784872).

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

23133488 is a wasteful number, since it uses less digits than its factorization.

23133488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1581 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 23133488 is about 4809.7284746647. The cubic root of 23133488 is about 284.9358140055.

The spelling of 23133488 in words is "twenty-three million, one hundred thirty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1553 1862 2128 3106 3724 6212 7448 10871 12424 14896 21742 24848 29507 43484 59014 76097 86968 118028 152194 173936 206549 236056 304388 413098 472112 608776 826196 1217552 1445843 1652392 2891686 3304784 5783372 11566744 23133488