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2254136004 = 2232531181413
BaseRepresentation
bin1000011001011011…
…0110001011000100
312211002112222021200
42012112312023010
514104024323004
61011401542500
7106600561041
oct20626661304
95732488250
102254136004
11a5744581a
1252aaa4a30
1329c0074b3
141755301c8
15d2d62239
hex865b62c4

2254136004 has 36 divisors (see below), whose sum is σ = 5805468396. Its totient is φ = 737201088.

The previous prime is 2254135997. The next prime is 2254136039. The reversal of 2254136004 is 4006314522.

2254136004 is a `hidden beast` number, since 2 + 2 + 54 + 1 + 3 + 600 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1325105604 + 929030400 = 36402^2 + 30480^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22541360042 = 10162258249058176032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588799 + ... + 592614.

It is an arithmetic number, because the mean of its divisors is an integer number (161263011).

Almost surely, 22254136004 is an apocalyptic number.

It is an amenable number.

2254136004 is an abundant number, since it is smaller than the sum of its proper divisors (3551332392).

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

2254136004 is a wasteful number, since it uses less digits than its factorization.

2254136004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181476 (or 1181471 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2254136004 is about 47477.7421956858. The cubic root of 2254136004 is about 1311.1731239131.

The spelling of 2254136004 in words is "two billion, two hundred fifty-four million, one hundred thirty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 1181413 2362826 3544239 4725652 7088478 10632717 14176956 21265434 42530868 62614889 125229778 187844667 250459556 375689334 563534001 751378668 1127068002 2254136004