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115632216 = 23327313733
BaseRepresentation
bin1101110010001…
…10100001011000
322001120201120200
412321012201120
5214100212331
615250222200
72602600110
oct671064130
9261521520
10115632216
115a2a9217
1232884960
131ac57b3b
1411500040
15a2415e6
hex6e46858

115632216 has 96 divisors (see below), whose sum is σ = 359542560. Its totient is φ = 32887296.

The previous prime is 115632199. The next prime is 115632287. The reversal of 115632216 is 612236511.

115632216 is a `hidden beast` number, since 1 + 1 + 5 + 632 + 21 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115632216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157386 + ... + 158118.

It is an arithmetic number, because the mean of its divisors is an integer number (3745235).

Almost surely, 2115632216 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 115632216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179771280).

115632216 is an abundant number, since it is smaller than the sum of its proper divisors (243910344).

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

115632216 is a wasteful number, since it uses less digits than its factorization.

115632216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1058 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 115632216 is about 10753.2421157528. The cubic root of 115632216 is about 487.1839245021.

Adding to 115632216 its reverse (612236511), we get a palindrome (727868727).

The spelling of 115632216 in words is "one hundred fifteen million, six hundred thirty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 313 504 626 733 939 1252 1466 1878 2191 2199 2504 2817 2932 3756 4382 4398 5131 5634 5864 6573 6597 7512 8764 8796 10262 11268 13146 13194 15393 17528 17592 19719 20524 22536 26292 26388 30786 39438 41048 46179 52584 52776 61572 78876 92358 123144 157752 184716 229429 369432 458858 688287 917716 1376574 1606003 1835432 2064861 2753148 3212006 4129722 4818009 5506296 6424012 8259444 9636018 12848024 14454027 16518888 19272036 28908054 38544072 57816108 115632216