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30623544225 = 3252136104641
BaseRepresentation
bin11100100001010011…
…100011001110100001
32221001012121020020200
4130201103203032201
51000204111403400
622022424455413
72132610555021
oct344123431641
987035536220
1030623544225
1111a9521303a
125b2791a569
132b70615391
1416a719da81
15be3747b00
hex7214e33a1

30623544225 has 18 divisors (see below), whose sum is σ = 54850170726. Its totient is φ = 16332556800.

The previous prime is 30623544169. The next prime is 30623544239. The reversal of 30623544225 is 52244532603.

30623544225 is a `hidden beast` number, since 3 + 0 + 623 + 5 + 4 + 4 + 2 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3382701921 + 27240842304 = 58161^2 + 165048^2 .

It is not a de Polignac number, because 30623544225 - 28 = 30623543969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30623544225.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68052096 + ... + 68052545.

It is an arithmetic number, because the mean of its divisors is an integer number (3047231707).

Almost surely, 230623544225 is an apocalyptic number.

It is an amenable number.

30623544225 is a deficient number, since it is larger than the sum of its proper divisors (24226626501).

30623544225 is a wasteful number, since it uses less digits than its factorization.

30623544225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136104657 (or 136104649 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 30623544225 in words is "thirty billion, six hundred twenty-three million, five hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 136104641 408313923 680523205 1224941769 2041569615 3402616025 6124708845 10207848075 30623544225