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2240240004 = 22348977689
BaseRepresentation
bin1000010110000111…
…0101100110000100
312210010101222120000
42011201311212010
514042000140004
61010144041300
7106341503652
oct20541654604
95703358500
102240240004
11a4a614522
12526303230
13299180502
14173753dd2
15d1a19c39
hex85875984

2240240004 has 60 divisors (see below), whose sum is σ = 5922308700. Its totient is φ = 738346752.

The previous prime is 2240239949. The next prime is 2240240027. The reversal of 2240240004 is 4000420422.

It can be written as a sum of positive squares in 2 ways, for example, as 976437504 + 1263802500 = 31248^2 + 35550^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10009 + ... + 67680.

It is an arithmetic number, because the mean of its divisors is an integer number (98705145).

Almost surely, 22240240004 is an apocalyptic number.

It is an amenable number.

2240240004 is an abundant number, since it is smaller than the sum of its proper divisors (3682068696).

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

2240240004 is a wasteful number, since it uses less digits than its factorization.

2240240004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77794 (or 77783 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2240240004 is about 47331.1737019060. The cubic root of 2240240004 is about 1308.4732527041.

Adding to 2240240004 its reverse (4000420422), we get a palindrome (6240660426).

The spelling of 2240240004 in words is "two billion, two hundred forty million, two hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 534 801 1068 1602 2403 3204 4806 7209 9612 14418 28836 77689 155378 233067 310756 466134 699201 932268 1398402 2097603 2796804 4195206 6292809 6914321 8390412 12585618 13828642 20742963 25171236 27657284 41485926 62228889 82971852 124457778 186686667 248915556 373373334 560060001 746746668 1120120002 2240240004