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225303048992 = 2572119872
BaseRepresentation
bin1101000111010100011…
…0111011001100100000
3210112112202102202101002
43101311012323030200
512142410040031432
6251300334131132
722164135214100
oct3216506731440
9715482382332
10225303048992
118760677443a
12377b9650aa8
1318327580208
14ac947d3200
155cd9a58e62
hex34751bb320

225303048992 has 54 divisors (see below), whose sum is σ = 516027263787. Its totient is φ = 96550394304.

The previous prime is 225303048979. The next prime is 225303049057. The reversal of 225303048992 is 299840303522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 112651524496 + 112651524496 = 335636^2 + 335636^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335636.

It is a super-2 number, since 2×2253030489922 (a number of 24 digits) contains 22 as substring.

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, 18789623 + ... + 18801609.

Almost surely, 2225303048992 is an apocalyptic number.

It is an amenable number.

225303048992 is an abundant number, since it is smaller than the sum of its proper divisors (290724214795).

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

225303048992 is an frugal number, since it uses more digits than its factorization.

225303048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23998 (or 11996 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The spelling of 225303048992 in words is "two hundred twenty-five billion, three hundred three million, forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 11987 23974 47948 83909 95896 167818 191792 335636 383584 587363 671272 1174726 1342544 2349452 2685088 4698904 9397808 18795616 143688169 287376338 574752676 1005817183 1149505352 2011634366 2299010704 4023268732 4598021408 7040720281 8046537464 14081440562 16093074928 28162881124 32186149856 56325762248 112651524496 225303048992