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216506232 = 23323197001
BaseRepresentation
bin11001110011110…
…01111101111000
3120002101122201100
430321321331320
5420411144412
633252251400
75236162335
oct1471717570
9502348640
10216506232
11101237378
1260610b60
1335b163c7
1420a7b98c
1514019edc
hexce79f78

216506232 has 48 divisors (see below), whose sum is σ = 605292480. Its totient is φ = 69840000.

The previous prime is 216506209. The next prime is 216506233. The reversal of 216506232 is 232605612.

216506232 is a `hidden beast` number, since 2 + 1 + 650 + 6 + 2 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 216506196 and 216506205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216506233) 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, 46269 + ... + 50732.

It is an arithmetic number, because the mean of its divisors is an integer number (12610260).

Almost surely, 2216506232 is an apocalyptic number.

It is an amenable number.

216506232 is an abundant number, since it is smaller than the sum of its proper divisors (388786248).

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

216506232 is a wasteful number, since it uses less digits than its factorization.

216506232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97044 (or 97037 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 216506232 is about 14714.1507400189. The cubic root of 216506232 is about 600.4683676245.

The spelling of 216506232 in words is "two hundred sixteen million, five hundred six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 97001 194002 291003 388004 582006 776008 873009 1164012 1746018 2328024 3007031 3492036 6014062 6984072 9021093 12028124 18042186 24056248 27063279 36084372 54126558 72168744 108253116 216506232