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225163446048 = 2532279612
BaseRepresentation
bin1101000110110011001…
…0011000011100100000
3210112012000202012010200
43101230302120130200
512142113320233143
6251234430025200
722160521466322
oct3215462303440
9715160665120
10225163446048
1187544993702
123777a948200
1318304681818
14ac80053612
155ccc6801d3
hex346cc98720

225163446048 has 54 divisors (see below), whose sum is σ = 640331450577. Its totient is φ = 75051797760.

The previous prime is 225163446043. The next prime is 225163446061. The reversal of 225163446048 is 840644361522.

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.

225163446048 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 6 + 34 + 4 + 604 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 207837515664 + 17325930384 = 455892^2 + 131628^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335532.

It is a junction number, because it is equal to n+sod(n) for n = 225163445994 and 225163446012.

It is not an unprimeable number, because it can be changed into a prime (225163446041) 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, 8038788 + ... + 8066748.

Almost surely, 2225163446048 is an apocalyptic number.

It is an amenable number.

225163446048 is an abundant number, since it is smaller than the sum of its proper divisors (415168004529).

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

225163446048 is an frugal number, since it uses more digits than its factorization.

225163446048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55938 (or 27966 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 225163446048 in words is "two hundred twenty-five billion, one hundred sixty-three million, four hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 27961 55922 83883 111844 167766 223688 251649 335532 447376 503298 671064 894752 1006596 1342128 2013192 2684256 4026384 8052768 781817521 1563635042 2345452563 3127270084 4690905126 6254540168 7036357689 9381810252 12509080336 14072715378 18763620504 25018160672 28145430756 37527241008 56290861512 75054482016 112581723024 225163446048