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253341088900 = 2252503332
BaseRepresentation
bin1110101111110001001…
…1100011110010000100
3220012220202221202110121
43223330103203302010
513122320304321100
6312214442431324
724206012503504
oct3537423436204
9805822852417
10253341088900
1198494492849
1241123502544
131ab75329583
14c394445a04
1568cb2d651a
hex3afc4e3c84

253341088900 has 27 divisors (see below), whose sum is σ = 549761085391. Its totient is φ = 101334422240.

The previous prime is 253341088883. The next prime is 253341088981. The reversal of 253341088900 is 9880143352.

The square root of 253341088900 is 503330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6959897476 + 246381191424 = 83426^2 + 496368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5008134 + ... + 5058466.

Almost surely, 2253341088900 is an apocalyptic number.

253341088900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

253341088900 is the 503330-th square number.

It is an amenable number.

253341088900 is an abundant number, since it is smaller than the sum of its proper divisors (296419996491).

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

253341088900 is an frugal number, since it uses more digits than its factorization.

253341088900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100680 (or 50340 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 253341088900 in words is "two hundred fifty-three billion, three hundred forty-one million, eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 50333 100666 201332 251665 503330 1006660 1258325 2516650 5033300 2533410889 5066821778 10133643556 12667054445 25334108890 50668217780 63335272225 126670544450 253341088900