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204252232240 = 2457364736129
BaseRepresentation
bin1011111000111001100…
…0011011101000110000
3201112012200121110112101
42332032120123220300
511321302032412430
6233455430110144
720520363220360
oct2761630335060
9645180543471
10204252232240
1179694073221
12337037ab354
1316351285324
149c58b329a0
1554a691edca
hex2f8e61ba30

204252232240 has 40 divisors (see below), whose sum is σ = 542727361440. Its totient is φ = 70029336576.

The previous prime is 204252232207. The next prime is 204252232277. The reversal of 204252232240 is 42232252402.

204252232240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 204252232199 and 204252232208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182367505 + ... + 182368624.

It is an arithmetic number, because the mean of its divisors is an integer number (13568184036).

Almost surely, 2204252232240 is an apocalyptic number.

204252232240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204252232240 is an abundant number, since it is smaller than the sum of its proper divisors (338475129200).

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

204252232240 is a wasteful number, since it uses less digits than its factorization.

204252232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364736149 (or 364736143 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 204252232240 its reverse (42232252402), we get a palindrome (246484484642).

The spelling of 204252232240 in words is "two hundred four billion, two hundred fifty-two million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 364736129 729472258 1458944516 1823680645 2553152903 2917889032 3647361290 5106305806 5835778064 7294722580 10212611612 12765764515 14589445160 20425223224 25531529030 29178890320 40850446448 51063058060 102126116120 204252232240