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2045512900 = 225220455129
BaseRepresentation
bin111100111101100…
…0000110011000100
312021112222211012001
41321323000303010
513142122403100
6534550235044
7101455400314
oct17173006304
95245884161
102045512900
1195a703132
12491055a84
13267a21282
14155945444
15be8a2d6a
hex79ec0cc4

2045512900 has 18 divisors (see below), whose sum is σ = 4438763210. Its totient is φ = 818205120.

The previous prime is 2045512877. The next prime is 2045512933. The reversal of 2045512900 is 92155402.

It can be written as a sum of positive squares in 3 ways, for example, as 260112384 + 1785400516 = 16128^2 + 42254^2 .

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, 10227465 + ... + 10227664.

Almost surely, 22045512900 is an apocalyptic number.

2045512900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045512900 is an abundant number, since it is smaller than the sum of its proper divisors (2393250310).

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

2045512900 is a wasteful number, since it uses less digits than its factorization.

2045512900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20455143 (or 20455136 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2045512900 is about 45227.3468158370. The cubic root of 2045512900 is about 1269.4065675639.

It can be divided in two parts, 204 and 5512900, that added together give a square (5513104 = 23482).

The spelling of 2045512900 in words is "two billion, forty-five million, five hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20455129 40910258 81820516 102275645 204551290 409102580 511378225 1022756450 2045512900