Search a number
-
+
54225166400 = 265233890729
BaseRepresentation
bin110010100000000100…
…100110000001000000
312011222001012212022022
4302200010212001000
51342023120311100
640524413301012
73626515211066
oct624004460100
9164861185268
1054225166400
1120aa6769109
12a613a94768
13516221a5a2
1428a5938036
151625795e85
hexca0126040

54225166400 has 42 divisors (see below), whose sum is σ = 133427804010. Its totient is φ = 21690065920.

The previous prime is 54225166397. The next prime is 54225166417. The reversal of 54225166400 is 466152245.

It can be written as a sum of positive squares in 3 ways, for example, as 70291456 + 54154874944 = 8384^2 + 232712^2 .

It is a super-2 number, since 2×542251664002 (a number of 22 digits) contains 22 as substring.

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, 16943765 + ... + 16946964.

Almost surely, 254225166400 is an apocalyptic number.

54225166400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54225166400 is an abundant number, since it is smaller than the sum of its proper divisors (79202637610).

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

54225166400 is a wasteful number, since it uses less digits than its factorization.

54225166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33890751 (or 33890736 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 54225166400 in words is "fifty-four billion, two hundred twenty-five million, one hundred sixty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 33890729 67781458 135562916 169453645 271125832 338907290 542251664 677814580 847268225 1084503328 1355629160 1694536450 2169006656 2711258320 3389072900 5422516640 6778145800 10845033280 13556291600 27112583200 54225166400