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232584968 = 23721153939
BaseRepresentation
bin11011101110011…
…11011100001000
3121012122112121002
431313033130020
5434020204333
635025034132
75522640200
oct1567173410
9535575532
10232584968
1110a319590
1265a85948
1339255a55
1422c65400
15156440e8
hexddcf708

232584968 has 48 divisors (see below), whose sum is σ = 553424400. Its totient is φ = 90615840.

The previous prime is 232584967. The next prime is 232584983. The reversal of 232584968 is 869485232.

It is a super-2 number, since 2×2325849682 = 108191534679122048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232584967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22658 + ... + 31281.

It is an arithmetic number, because the mean of its divisors is an integer number (11529675).

Almost surely, 2232584968 is an apocalyptic number.

232584968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

232584968 is an abundant number, since it is smaller than the sum of its proper divisors (320839432).

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

232584968 is a wasteful number, since it uses less digits than its factorization.

232584968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53970 (or 53959 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 232584968 is about 15250.7366379464. The cubic root of 232584968 is about 614.9793704936.

The spelling of 232584968 in words is "two hundred thirty-two million, five hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 4312 53939 107878 215756 377573 431512 593329 755146 1186658 1510292 2373316 2643011 3020584 4153303 4746632 5286022 8306606 10572044 16613212 21144088 29073121 33226424 58146242 116292484 232584968