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232268340 = 22353871139
BaseRepresentation
bin11011101100000…
…10001000110100
3121012001110021010
431312002020310
5433430041330
635014152220
75520151113
oct1566021064
9535043233
10232268340
1110a122707
1265952670
13391748b5
1422bc1c7a
15155d03b0
hexdd82234

232268340 has 24 divisors (see below), whose sum is σ = 650351520. Its totient is φ = 61938208.

The previous prime is 232268339. The next prime is 232268341. The reversal of 232268340 is 43862232.

It is an interprime number because it is at equal distance from previous prime (232268339) and next prime (232268341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232268298 and 232268307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232268341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1935510 + ... + 1935629.

It is an arithmetic number, because the mean of its divisors is an integer number (27097980).

Almost surely, 2232268340 is an apocalyptic number.

232268340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232268340 is an abundant number, since it is smaller than the sum of its proper divisors (418083180).

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

232268340 is a wasteful number, since it uses less digits than its factorization.

232268340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871151 (or 3871149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 232268340 is about 15240.3523581314. The cubic root of 232268340 is about 614.7001777369.

The spelling of 232268340 in words is "two hundred thirty-two million, two hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3871139 7742278 11613417 15484556 19355695 23226834 38711390 46453668 58067085 77422780 116134170 232268340