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338220044244 = 22329395001229
BaseRepresentation
bin1001110101111110111…
…11000100111111010100
31012100000010200102222100
410322333133010333110
521020133312403434
6415213125202100
733302256640635
oct4727737047724
91170003612870
10338220044244
11120490441225
1255671260330
1325b811bb6c4
141252717388c
158be7c9b699
hex4ebf7c4fd4

338220044244 has 18 divisors (see below), whose sum is σ = 854945111930. Its totient is φ = 112740014736.

The previous prime is 338220044237. The next prime is 338220044273. The reversal of 338220044244 is 442440022833.

338220044244 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 200 + 442 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 173878992144 + 164341052100 = 416988^2 + 405390^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3382200442442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9395001229 = 338220044244 / (3 + 3 + 8 + 2 + 2 + 0 + 0 + 4 + 4 + 2 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 338220044199 and 338220044208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4697500579 + ... + 4697500650.

Almost surely, 2338220044244 is an apocalyptic number.

It is an amenable number.

338220044244 is an abundant number, since it is smaller than the sum of its proper divisors (516725067686).

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

338220044244 is a wasteful number, since it uses less digits than its factorization.

338220044244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9395001239 (or 9395001234 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 338220044244 in words is "three hundred thirty-eight billion, two hundred twenty million, forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 9395001229 18790002458 28185003687 37580004916 56370007374 84555011061 112740014748 169110022122 338220044244