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216157088 = 2577313219
BaseRepresentation
bin11001110001001…
…00101110100000
3120001201220210002
430320210232200
5420314011323
633240555132
75233206410
oct1470445640
9501656702
10216157088
11101019024
1260482aa8
1335a23504
14209ca640
1513e9b828
hexce24ba0

216157088 has 48 divisors (see below), whose sum is σ = 493053120. Its totient is φ = 91362816.

The previous prime is 216157063. The next prime is 216157103. The reversal of 216157088 is 880751612.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9743 + ... + 22961.

It is an arithmetic number, because the mean of its divisors is an integer number (10271940).

Almost surely, 2216157088 is an apocalyptic number.

216157088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216157088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246526560).

216157088 is an abundant number, since it is smaller than the sum of its proper divisors (276896032).

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

216157088 is a wasteful number, since it uses less digits than its factorization.

216157088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13309 (or 13301 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 216157088 is about 14702.2817276775. The cubic root of 216157088 is about 600.1454166057.

The spelling of 216157088 in words is "two hundred sixteen million, one hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 13219 16352 26438 52876 92533 105752 185066 211504 370132 423008 740264 964987 1480528 1929974 2961056 3859948 6754909 7719896 13509818 15439792 27019636 30879584 54039272 108078544 216157088