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216880832 = 2671728477
BaseRepresentation
bin11001110110101…
…01011011000000
3120010002200120102
430323111123000
5421010141312
633304301532
75242312430
oct1473253300
9503080512
10216880832
11101472863
12607718a8
1335c17a6c
1420b382c0
1514090ec2
hexced56c0

216880832 has 56 divisors (see below), whose sum is σ = 520805664. Its totient is φ = 87478272.

The previous prime is 216880819. The next prime is 216880837. The reversal of 216880832 is 238088612.

216880832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (216880837) 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, 6623 + ... + 21854.

Almost surely, 2216880832 is an apocalyptic number.

It is an amenable number.

216880832 is an abundant number, since it is smaller than the sum of its proper divisors (303924832).

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

216880832 is a wasteful number, since it uses less digits than its factorization.

216880832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28513 (or 28503 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 216880832 is about 14726.8744817086. The cubic root of 216880832 is about 600.8144790580.

It can be divided in two parts, 216880 and 832, that added together give a palindrome (217712).

The spelling of 216880832 in words is "two hundred sixteen million, eight hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 28477 56954 113908 199339 227816 398678 455632 484109 797356 911264 968218 1594712 1822528 1936436 3189424 3388763 3872872 6378848 6777526 7745744 12757696 13555052 15491488 27110104 30982976 54220208 108440416 216880832