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232112040 = 23352278521
BaseRepresentation
bin11011101010110…
…11111110101000
3121011202111212020
431311123332220
5433410041130
635010544440
75515630326
oct1565337650
9534674766
10232112040
1110a026236
1265898120
133911b704
1422b80d16
151559de10
hexdd5bfa8

232112040 has 64 divisors (see below), whose sum is σ = 699485760. Its totient is φ = 61616640.

The previous prime is 232112017. The next prime is 232112059. The reversal of 232112040 is 40211232.

It is a super-2 number, since 2×2321120402 = 107751998225923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22980 + ... + 31500.

It is an arithmetic number, because the mean of its divisors is an integer number (10929465).

Almost surely, 2232112040 is an apocalyptic number.

232112040 is a gapful number since it is divisible by the number (20) 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 232112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349742880).

232112040 is an abundant number, since it is smaller than the sum of its proper divisors (467373720).

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

232112040 is a wasteful number, since it uses less digits than its factorization.

232112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 232112040 is about 15235.2236609772. The cubic root of 232112040 is about 614.5622636947.

Adding to 232112040 its reverse (40211232), we get a palindrome (272323272).

The spelling of 232112040 in words is "two hundred thirty-two million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 908 1135 1362 1816 2270 2724 3405 4540 5448 6810 8521 9080 13620 17042 25563 27240 34084 42605 51126 68168 85210 102252 127815 170420 204504 255630 340840 511260 1022520 1934267 3868534 5802801 7737068 9671335 11605602 15474136 19342670 23211204 29014005 38685340 46422408 58028010 77370680 116056020 232112040