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232342992 = 243578537
BaseRepresentation
bin11011101100101…
…00010111010000
3121012012020200000
431312110113100
5433434433432
635015530000
75520611550
oct1566242720
9535166600
10232342992
1110a173802
1265989900
133919c87b
1422c01160
15155e757c
hexdd945d0

232342992 has 120 divisors (see below), whose sum is σ = 770742336. Its totient is φ = 66375936.

The previous prime is 232342991. The next prime is 232342997. The reversal of 232342992 is 299243232.

232342992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232342991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22948 + ... + 31484.

Almost surely, 2232342992 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 232342992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385371168).

232342992 is an abundant number, since it is smaller than the sum of its proper divisors (538399344).

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

232342992 is an equidigital number, since it uses as much as digits as its factorization.

232342992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8567 (or 8549 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 232342992 is about 15242.8013173432. The cubic root of 232342992 is about 614.7660264047.

The spelling of 232342992 in words is "two hundred thirty-two million, three hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 8537 9072 13608 17074 25611 27216 34148 51222 59759 68296 76833 102444 119518 136592 153666 179277 204888 230499 239036 307332 358554 409776 460998 478072 537831 614664 691497 717108 921996 956144 1075662 1229328 1382994 1434216 1613493 1843992 2074491 2151324 2765988 2868432 3226986 3687984 4148982 4302648 4840479 5531976 6453972 8297964 8605296 9680958 11063952 12907944 14521437 16595928 19361916 25815888 29042874 33191856 38723832 58085748 77447664 116171496 232342992