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204330522400 = 2552255413153
BaseRepresentation
bin1011111001001100001…
…1000101011100100000
3201112102010221000102221
42332103003011130200
511321432103204100
6233511304120424
720522333532514
oct2762303053440
9645363830387
10204330522400
1179724286834
1233725a66114
1316364567374
149c652b2144
1554ad73701a
hex2f930c5720

204330522400 has 36 divisors (see below), whose sum is σ = 498821889762. Its totient is φ = 81732208640.

The previous prime is 204330522391. The next prime is 204330522421. The reversal of 204330522400 is 4225033402.

204330522400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 145182336784 + 59148185616 = 381028^2 + 243204^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127705777 + ... + 127707376.

Almost surely, 2204330522400 is an apocalyptic number.

204330522400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204330522400 is an abundant number, since it is smaller than the sum of its proper divisors (294491367362).

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

204330522400 is a wasteful number, since it uses less digits than its factorization.

204330522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255413173 (or 255413160 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 204330522400 its reverse (4225033402), we get a palindrome (208555555802).

The spelling of 204330522400 in words is "two hundred four billion, three hundred thirty million, five hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 255413153 510826306 1021652612 1277065765 2043305224 2554131530 4086610448 5108263060 6385328825 8173220896 10216526120 12770657650 20433052240 25541315300 40866104480 51082630600 102165261200 204330522400