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23033088 = 283213769
BaseRepresentation
bin101011111011…
…1010100000000
31121100012110100
41113313110000
521344024323
62141402400
7366530601
oct127672400
947305410
1023033088
1112002111
127869400
134a05b60
1430b7da8
15204e943
hex15f7500

23033088 has 108 divisors (see below), whose sum is σ = 71611540. Its totient is φ = 7077888.

The previous prime is 23033083. The next prime is 23033089. The reversal of 23033088 is 88033032.

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 17040384 = 2448^2 + 4128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23033083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29568 + ... + 30336.

Almost surely, 223033088 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 23033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35805770).

23033088 is an abundant number, since it is smaller than the sum of its proper divisors (48578452).

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

23033088 is a wasteful number, since it uses less digits than its factorization.

23033088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23033088 is about 4799.2799459919. The cubic root of 23033088 is about 284.5230063668.

The spelling of 23033088 in words is "twenty-three million, thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 769 832 936 1152 1248 1538 1664 1872 2304 2307 2496 3076 3328 3744 4614 4992 6152 6921 7488 9228 9984 9997 12304 13842 14976 18456 19994 24608 27684 29952 29991 36912 39988 49216 55368 59982 73824 79976 89973 98432 110736 119964 147648 159952 179946 196864 221472 239928 295296 319904 359892 442944 479856 590592 639808 719784 885888 959712 1279616 1439568 1771776 1919424 2559232 2879136 3838848 5758272 7677696 11516544 23033088