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203008819225 = 529729292
BaseRepresentation
bin1011110100010001000…
…1001100000000011001
3201102000000220112112111
42331010101030000121
511311230224203400
6233132211312321
720444514330502
oct2750421140031
9642000815474
10203008819225
1179106205663
12334172ab6a1
13161b37a0994
149b7b941ba9
1554326ab3ba
hex2f4444c019

203008819225 has 27 divisors (see below), whose sum is σ = 254626941207. Its totient is φ = 160559738880.

The previous prime is 203008819183. The next prime is 203008819249. The reversal of 203008819225 is 522918800302.

The square root of 203008819225 is 450565.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 202425306889 + 583512336 = 449917^2 + 24156^2 .

It is a de Polignac number, because none of the positive numbers 2k-203008819225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 218523561 + ... + 218524489.

Almost surely, 2203008819225 is an apocalyptic number.

203008819225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

203008819225 is the 450565-th square number.

203008819225 is the 225283-rd centered octagonal number.

It is an amenable number.

203008819225 is a deficient number, since it is larger than the sum of its proper divisors (51618121982).

203008819225 is an frugal number, since it uses more digits than its factorization.

203008819225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 203008819225 in words is "two hundred three billion, eight million, eight hundred nineteen thousand, two hundred twenty-five".

Divisors: 1 5 25 97 485 929 2425 4645 9409 23225 47045 90113 235225 450565 863041 2252825 4315205 8740961 21576025 43704805 83714977 218524025 418574885 2092874425 8120352769 40601763845 203008819225