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225253076625 = 3253200224957
BaseRepresentation
bin1101000111001000100…
…0010010111010010001
3210112102021101220011200
43101302020102322101
512142304241423000
6251251351101413
722162660363053
oct3216210227221
9715367356150
10225253076625
1187590542465
12377a4971869
131831a104575
14ac8bd058d3
155cd5487500
hex3472212e91

225253076625 has 24 divisors (see below), whose sum is σ = 406056214824. Its totient is φ = 120134973600.

The previous prime is 225253076591. The next prime is 225253076627. The reversal of 225253076625 is 526670352522.

225253076625 is a `hidden beast` number, since 2 + 2 + 52 + 530 + 7 + 6 + 62 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6554683521 + 218698393104 = 80961^2 + 467652^2 .

It is not a de Polignac number, because 225253076625 - 27 = 225253076497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (225253076627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100111354 + ... + 100113603.

It is an arithmetic number, because the mean of its divisors is an integer number (16919008951).

Almost surely, 2225253076625 is an apocalyptic number.

225253076625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225253076625 is a deficient number, since it is larger than the sum of its proper divisors (180803138199).

225253076625 is a wasteful number, since it uses less digits than its factorization.

225253076625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200224978 (or 200224965 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 225253076625 in words is "two hundred twenty-five billion, two hundred fifty-three million, seventy-six thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 200224957 600674871 1001124785 1802024613 3003374355 5005623925 9010123065 15016871775 25028119625 45050615325 75084358875 225253076625