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204225442125 = 35329186110091
BaseRepresentation
bin1011111000110011001…
…0001111000101001101
3201112010211012101101220
42332030302033011031
511321223203122000
6233453031553553
720516616421155
oct2761462170515
9645124171356
10204225442125
117967aa35431
12336b682b8b9
13163488653a3
149c5535b765
1554a43cc1a0
hex2f8cc8f14d

204225442125 has 64 divisors (see below), whose sum is σ = 351773210880. Its totient is φ = 105097440000.

The previous prime is 204225442093. The next prime is 204225442133. The reversal of 204225442125 is 521244522402.

It is not a de Polignac number, because 204225442125 - 25 = 204225442093 is a prime.

It is a super-2 number, since 2×2042254421252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20233330 + ... + 20243420.

It is an arithmetic number, because the mean of its divisors is an integer number (5496456420).

Almost surely, 2204225442125 is an apocalyptic number.

204225442125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

204225442125 is a deficient number, since it is larger than the sum of its proper divisors (147547768755).

204225442125 is a wasteful number, since it uses less digits than its factorization.

204225442125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11999 (or 11989 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 204225442125 its reverse (521244522402), we get a palindrome (725469964527).

The spelling of 204225442125 in words is "two hundred four billion, two hundred twenty-five million, four hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 29 75 87 125 145 375 435 725 1861 2175 3625 5583 9305 10091 10875 27915 30273 46525 50455 53969 139575 151365 161907 232625 252275 269845 292639 697875 756825 809535 877917 1261375 1349225 1463195 3784125 4047675 4389585 6746125 7315975 18779351 20238375 21947925 36579875 56338053 93896755 109739625 281690265 469483775 544601179 1408451325 1633803537 2347418875 2723005895 7042256625 8169017685 13615029475 40845088425 68075147375 204225442125