Search a number
-
+
23665152 = 29373171
BaseRepresentation
bin101101001000…
…1101000000000
31122112022111010
41122101220000
522024241102
62203120520
7405102420
oct132215000
948468433
1023665152
11123a3a85
127b13140
134b97764
143200480
152126d6c
hex1691a00

23665152 has 160 divisors (see below), whose sum is σ = 75423744. Its totient is φ = 6451200.

The previous prime is 23665141. The next prime is 23665153. The reversal of 23665152 is 25156632.

It is not an unprimeable number, because it can be changed into a prime (23665153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333277 + ... + 333347.

Almost surely, 223665152 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 23665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37711872).

23665152 is an abundant number, since it is smaller than the sum of its proper divisors (51758592).

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

23665152 is an equidigital number, since it uses as much as digits as its factorization.

23665152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 23665152 is about 4864.6841624097. The cubic root of 23665152 is about 287.1021420523.

The spelling of 23665152 in words is "twenty-three million, six hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 71 84 93 96 112 124 128 142 168 186 192 213 217 224 248 256 284 336 372 384 426 434 448 496 497 512 568 651 672 744 768 852 868 896 992 994 1136 1302 1344 1488 1491 1536 1704 1736 1792 1984 1988 2201 2272 2604 2688 2976 2982 3408 3472 3584 3968 3976 4402 4544 5208 5376 5952 5964 6603 6816 6944 7936 7952 8804 9088 10416 10752 11904 11928 13206 13632 13888 15407 15872 15904 17608 18176 20832 23808 23856 26412 27264 27776 30814 31808 35216 36352 41664 46221 47616 47712 52824 54528 55552 61628 63616 70432 83328 92442 95424 105648 109056 111104 123256 127232 140864 166656 184884 190848 211296 246512 254464 281728 333312 369768 381696 422592 493024 563456 739536 763392 845184 986048 1126912 1479072 1690368 1972096 2958144 3380736 3944192 5916288 7888384 11832576 23665152