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116224632 = 2334672677
BaseRepresentation
bin1101110110101…
…11001001111000
322002200211020000
412323113021320
5214223142012
615311033000
72610615216
oct673271170
9262624200
10116224632
115a673317
1232b0b760
131b104694
1411615cb6
15a30bddc
hex6ed7278

116224632 has 80 divisors (see below), whose sum is σ = 330518760. Its totient is φ = 38149056.

The previous prime is 116224613. The next prime is 116224643. The reversal of 116224632 is 236422611.

116224632 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 24 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116224596 and 116224605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42078 + ... + 44754.

Almost surely, 2116224632 is an apocalyptic number.

116224632 is a gapful number since it is divisible by the number (12) 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 116224632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165259380).

116224632 is an abundant number, since it is smaller than the sum of its proper divisors (214294128).

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

116224632 is a wasteful number, since it uses less digits than its factorization.

116224632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2749 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 116224632 is about 10780.7528494071. The cubic root of 116224632 is about 488.0145005993.

The spelling of 116224632 in words is "one hundred sixteen million, two hundred twenty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1608 1809 2412 2677 3618 4824 5354 5427 7236 8031 10708 10854 14472 16062 21416 21708 24093 32124 43416 48186 64248 72279 96372 144558 179359 192744 216837 289116 358718 433674 538077 578232 717436 867348 1076154 1434872 1614231 1734696 2152308 3228462 4304616 4842693 6456924 9685386 12913848 14528079 19370772 29056158 38741544 58112316 116224632