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225260089632 = 2532279672
BaseRepresentation
bin1101000111001010001…
…1000011000100100000
3210112102202121012012200
43101302203003010200
512142313040332012
6251252201253200
722163104112124
oct3216243030440
9715382535180
10225260089632
11875944a2436
12377a7194200
131831b6bb686
14ac8cc0d584
155cd5dc03dc
hex34728c3120

225260089632 has 54 divisors (see below), whose sum is σ = 640606285683. Its totient is φ = 75084011712.

The previous prime is 225260089631. The next prime is 225260089657. The reversal of 225260089632 is 236980062522.

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.

225260089632 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 6 + 0 + 0 + 8 + 9 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112630044816 + 112630044816 = 335604^2 + 335604^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335604.

It is not an unprimeable number, because it can be changed into a prime (225260089631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8040513 + ... + 8068479.

Almost surely, 2225260089632 is an apocalyptic number.

It is an amenable number.

225260089632 is an abundant number, since it is smaller than the sum of its proper divisors (415346196051).

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

225260089632 is an frugal number, since it uses more digits than its factorization.

225260089632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55950 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 225260089632 in words is "two hundred twenty-five billion, two hundred sixty million, eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 27967 55934 83901 111868 167802 223736 251703 335604 447472 503406 671208 894944 1006812 1342416 2013624 2684832 4027248 8054496 782153089 1564306178 2346459267 3128612356 4692918534 6257224712 7039377801 9385837068 12514449424 14078755602 18771674136 25028898848 28157511204 37543348272 56315022408 75086696544 112630044816 225260089632