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216109056 = 212343409
BaseRepresentation
bin11001110000110…
…01000000000000
3120001122110220010
430320121000000
5420310442211
633235544520
75232616362
oct1470310000
9501573803
10216109056
11100a95a29
126045b140
1335a076a7
14209b6d32
1513e8c4a6
hexce19000

216109056 has 104 divisors (see below), whose sum is σ = 591062560. Its totient is φ = 70189056.

The previous prime is 216109043. The next prime is 216109057. The reversal of 216109056 is 650901612.

It is a super-2 number, since 2×2161090562 = 93406248170422272, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (216109057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528180 + ... + 528588.

Almost surely, 2216109056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295531280).

216109056 is an abundant number, since it is smaller than the sum of its proper divisors (374953504).

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

216109056 is an equidigital number, since it uses as much as digits as its factorization.

216109056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 216109056 is about 14700.6481489763. The cubic root of 216109056 is about 600.1009607884.

The spelling of 216109056 in words is "two hundred sixteen million, one hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 409 512 516 688 768 818 1024 1032 1227 1376 1536 1636 2048 2064 2454 2752 3072 3272 4096 4128 4908 5504 6144 6544 8256 9816 11008 12288 13088 16512 17587 19632 22016 26176 33024 35174 39264 44032 52352 52761 66048 70348 78528 88064 104704 105522 132096 140696 157056 176128 209408 211044 264192 281392 314112 418816 422088 528384 562784 628224 837632 844176 1125568 1256448 1675264 1688352 2251136 2512896 3376704 4502272 5025792 6753408 9004544 13506816 18009088 27013632 36018176 54027264 72036352 108054528 216109056