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232106868 = 223274719597
BaseRepresentation
bin11011101010110…
…10101101110100
3121011202020202200
431311122231310
5433404404433
635010504500
75515606260
oct1565325564
9534666680
10232106868
1110a022364
1265895130
1339119256
1422b7d0a0
151559c613
hexdd5ab74

232106868 has 72 divisors (see below), whose sum is σ = 684832512. Its totient is φ = 64901952.

The previous prime is 232106857. The next prime is 232106873. The reversal of 232106868 is 868601232.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2046 + ... + 21642.

Almost surely, 2232106868 is an apocalyptic number.

232106868 is a gapful number since it is divisible by the number (28) 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 232106868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342416256).

232106868 is an abundant number, since it is smaller than the sum of its proper divisors (452725644).

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

232106868 is a wasteful number, since it uses less digits than its factorization.

232106868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19661 (or 19656 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 232106868 is about 15235.0539217950. The cubic root of 232106868 is about 614.5576990318.

The spelling of 232106868 in words is "two hundred thirty-two million, one hundred six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 11844 19597 39194 58791 78388 117582 137179 176373 235164 274358 352746 411537 548716 705492 823074 921059 1234611 1646148 1842118 2469222 2763177 3684236 4938444 5526354 6447413 8289531 11052708 12894826 16579062 19342239 25789652 33158124 38684478 58026717 77368956 116053434 232106868