Search a number
-
+
2164222224612 = 2232750916872659
BaseRepresentation
bin11111011111100101101…
…100100110100011100100
321122220020100221020021100
4133133211230212203210
5240424311342141422
64334121401120100
7312234305245020
oct37374554464344
97586210836240
102164222224612
1176492902a878
122ab535789030
1312911548b846
1476a6b043380
153b46a4897ac
hex1f7e5b268e4

2164222224612 has 72 divisors (see below), whose sum is σ = 6264481204800. Its totient is φ = 617134339008.

The previous prime is 2164222224601. The next prime is 2164222224613.

2164222224612 is a `hidden beast` number, since 2 + 1 + 6 + 422 + 2 + 224 + 6 + 1 + 2 = 666.

2164222224612 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (2164222224613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8308062 + ... + 8564597.

It is an arithmetic number, because the mean of its divisors is an integer number (87006683400).

Almost surely, 22164222224612 is an apocalyptic number.

It is an amenable number.

2164222224612 is an abundant number, since it is smaller than the sum of its proper divisors (4100258980188).

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

2164222224612 is a wasteful number, since it uses less digits than its factorization.

2164222224612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16873185 (or 16873180 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 2164222224612 in words is "two trillion, one hundred sixty-four billion, two hundred twenty-two million, two hundred twenty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 509 1018 1527 2036 3054 3563 4581 6108 7126 9162 10689 14252 18324 21378 32067 42756 64134 128268 16872659 33745318 50617977 67490636 101235954 118108613 151853931 202471908 236217226 303707862 354325839 472434452 607415724 708651678 1062977517 1417303356 2125955034 4251910068 8588183431 17176366862 25764550293 34352733724 51529100586 60117284017 77293650879 103058201172 120234568034 154587301758 180351852051 240469136068 309174603516 360703704102 541055556153 721407408204 1082111112306 2164222224612