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225197702500 = 225494912
BaseRepresentation
bin1101000110111011010…
…1000011110101100100
3210112021102012121011011
43101232311003311210
512142201102440000
6251242052152004
722161415613341
oct3215665036544
9715242177134
10225197702500
1187562261021
123778a308604
131830b7b7004
14ac8480d7c8
155cd069a2ba
hex346ed43d64

225197702500 has 45 divisors (see below), whose sum is σ = 492514228591. Its totient is φ = 90069590000.

The previous prime is 225197702489. The next prime is 225197702501. The reversal of 225197702500 is 5207791522.

The square root of 225197702500 is 474550.

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

It can be written as a sum of positive squares in 2 ways, for example, as 17655499876 + 207542202624 = 132874^2 + 455568^2 .

It is a super-2 number, since 2×2251977025002 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225197702501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23722755 + ... + 23732245.

Almost surely, 2225197702500 is an apocalyptic number.

225197702500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

225197702500 is the 474550-th square number.

It is an amenable number.

225197702500 is an abundant number, since it is smaller than the sum of its proper divisors (267316526091).

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

225197702500 is an frugal number, since it uses more digits than its factorization.

225197702500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19006 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 225197702500 in words is "two hundred twenty-five billion, one hundred ninety-seven million, seven hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 9491 18982 37964 47455 94910 189820 237275 474550 949100 1186375 2372750 4745500 5931875 11863750 23727500 90079081 180158162 360316324 450395405 900790810 1801581620 2251977025 4503954050 9007908100 11259885125 22519770250 45039540500 56299425625 112598851250 225197702500