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2246214336345 = 325721018691309
BaseRepresentation
bin100000101011111100110…
…011101011111101011001
321221201212112120001211100
4200223330303223331121
5243300221332230340
64435521400422013
7321166166555400
oct40537463537531
97851775501740
102246214336345
11796683485991
123033b8777909
13133a812383a5
147aa085c2637
153d6687ad830
hex20afccebf59

2246214336345 has 36 divisors (see below), whose sum is σ = 4529101564260. Its totient is φ = 1026840838464.

The previous prime is 2246214336337. The next prime is 2246214336397. The reversal of 2246214336345 is 5436334126422.

2246214336345 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 2 + 1 + 4 + 3 + 3 + 634 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1472138142489 + 774076193856 = 1213317^2 + 879816^2 .

It is not a de Polignac number, because 2246214336345 - 23 = 2246214336337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2246214336345.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 509343450 + ... + 509347859.

It is an arithmetic number, because the mean of its divisors is an integer number (125808376785).

Almost surely, 22246214336345 is an apocalyptic number.

It is an amenable number.

2246214336345 is an abundant number, since it is smaller than the sum of its proper divisors (2282887227915).

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

2246214336345 is a wasteful number, since it uses less digits than its factorization.

2246214336345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018691334 (or 1018691324 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The spelling of 2246214336345 in words is "two trillion, two hundred forty-six billion, two hundred fourteen million, three hundred thirty-six thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 1018691309 3056073927 5093456545 7130839163 9168221781 15280369635 21392517489 35654195815 45841108905 49915874141 64177552467 106962587445 149747622423 249579370705 320887762335 449242867269 748738112115 2246214336345