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23393088 = 2632172389
BaseRepresentation
bin101100100111…
…1001101000000
31122000111021200
41121033031000
521442034323
62153221200
7402560265
oct131171500
948014250
1023393088
1112228634
127a01800
134b00984
14316d26c
1520c1443
hex164f340

23393088 has 84 divisors (see below), whose sum is σ = 71026020. Its totient is φ = 7335936.

The previous prime is 23393059. The next prime is 23393101. The reversal of 23393088 is 88039332.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 11614464 = 3432^2 + 3408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 8598 + ... + 10986.

Almost surely, 223393088 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 23393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35513010).

23393088 is an abundant number, since it is smaller than the sum of its proper divisors (47632932).

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

23393088 is a wasteful number, since it uses less digits than its factorization.

23393088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 23393088 is about 4836.6401561415. The cubic root of 23393088 is about 285.9976852797.

The spelling of 23393088 in words is "twenty-three million, three hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2389 2448 3264 4778 4896 7167 9556 9792 14334 19112 21501 28668 38224 40613 43002 57336 76448 81226 86004 114672 121839 152896 162452 172008 229344 243678 324904 344016 365517 458688 487356 649808 688032 731034 974712 1299616 1376064 1462068 1949424 2599232 2924136 3898848 5848272 7797696 11696544 23393088