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216925344 = 2533251071
BaseRepresentation
bin11001110111000…
…00010010100000
3120010011221122000
430323200102200
5421013102334
633305244000
75242556256
oct1473402240
9503157560
10216925344
111014a3249
1260793600
1335c320bc
1420b4a5d6
151409e299
hexcee04a0

216925344 has 48 divisors (see below), whose sum is σ = 632701440. Its totient is φ = 72308160.

The previous prime is 216925327. The next prime is 216925363. The reversal of 216925344 is 443529612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216925299 and 216925308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124672 + ... + 126399.

It is an arithmetic number, because the mean of its divisors is an integer number (13181280).

Almost surely, 2216925344 is an apocalyptic number.

216925344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216925344 is an abundant number, since it is smaller than the sum of its proper divisors (415776096).

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

216925344 is a wasteful number, since it uses less digits than its factorization.

216925344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251090 (or 251076 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 216925344 is about 14728.3856549182. The cubic root of 216925344 is about 600.8555793933.

The spelling of 216925344 in words is "two hundred sixteen million, nine hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 251071 502142 753213 1004284 1506426 2008568 2259639 3012852 4017136 4519278 6025704 6778917 8034272 9038556 12051408 13557834 18077112 24102816 27115668 36154224 54231336 72308448 108462672 216925344