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216138432 = 26310612
BaseRepresentation
bin11001110001000…
…00001011000000
3120001200222012010
430320200023000
5420312412212
633240332520
75233101126
oct1470401300
9501628163
10216138432
11101006004
1260474140
1335a17b83
14209c3916
1513e9603c
hexce202c0

216138432 has 42 divisors (see below), whose sum is σ = 572405764. Its totient is φ = 71978240.

The previous prime is 216138431. The next prime is 216138437. The reversal of 216138432 is 234831612.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 216138432.

It is not an unprimeable number, because it can be changed into a prime (216138431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 203182 + ... + 204242.

Almost surely, 2216138432 is an apocalyptic number.

It is an amenable number.

216138432 is an abundant number, since it is smaller than the sum of its proper divisors (356267332).

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

216138432 is an frugal number, since it uses more digits than its factorization.

216138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 1066 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 216138432 is about 14701.6472546446. The cubic root of 216138432 is about 600.1281504050.

Multiplying 216138432 by its product of digits (6912), we get a square (1493948841984 = 12222722).

The spelling of 216138432 in words is "two hundred sixteen million, one hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1061 2122 3183 4244 6366 8488 12732 16976 25464 33952 50928 67904 101856 203712 1125721 2251442 3377163 4502884 6754326 9005768 13508652 18011536 27017304 36023072 54034608 72046144 108069216 216138432