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2280253504 = 264721272
BaseRepresentation
bin1000011111101001…
…1110100001000000
312212220200212202111
42013322132201000
514132221103004
61014133425104
7110335556254
oct20772364100
95786625674
102280253504
11a70164231
1253779b194
132a4550239
14178bac264
15d52c0a04
hex87e9e840

2280253504 has 63 divisors (see below), whose sum is σ = 4659890223. Its totient is φ = 1107082368.

The previous prime is 2280253489. The next prime is 2280253523. The reversal of 2280253504 is 4053520822.

The square root of 2280253504 is 47752.

It is a perfect power (a square), and thus also a powerful 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, 17954689 + ... + 17954815.

Almost surely, 22280253504 is an apocalyptic number.

2280253504 is the 47752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280253504

2280253504 is an abundant number, since it is smaller than the sum of its proper divisors (2379636719).

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

2280253504 is an frugal number, since it uses more digits than its factorization.

2280253504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The cubic root of 2280253504 is about 1316.2176510759.

The spelling of 2280253504 in words is "two billion, two hundred eighty million, two hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 127 188 254 376 508 752 1016 1504 2032 2209 3008 4064 4418 5969 8128 8836 11938 16129 17672 23876 32258 35344 47752 64516 70688 95504 129032 141376 191008 258064 280543 382016 516128 561086 758063 1032256 1122172 1516126 2244344 3032252 4488688 6064504 8977376 12129008 17954752 24258016 35628961 48516032 71257922 142515844 285031688 570063376 1140126752 2280253504