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31831912225 = 5217220992
BaseRepresentation
bin11101101001010101…
…000110111100100001
310001011102100200112001
4131221111012330201
51010142432142400
622342352204001
72204552534551
oct355125067441
9101142320461
1031831912225
1112555314883
126204539601
133003a79629
14177d86b161
15c64887a6a
hex769546f21

31831912225 has 27 divisors (see below), whose sum is σ = 41949993817. Its totient is φ = 23956138880.

The previous prime is 31831912207. The next prime is 31831912237. The reversal of 31831912225 is 52221913813.

It is a happy number.

The square root of 31831912225 is 178415.

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

It can be written as a sum of positive squares in 4 ways, for example, as 744580369 + 31087331856 = 27287^2 + 176316^2 .

It is not a de Polignac number, because 31831912225 - 27 = 31831912097 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, 15164226 + ... + 15166324.

Almost surely, 231831912225 is an apocalyptic number.

31831912225 is the 178415-th square number.

31831912225 is the 89208-th centered octagonal number.

It is an amenable number.

31831912225 is a deficient number, since it is larger than the sum of its proper divisors (10118081592).

31831912225 is an frugal number, since it uses more digits than its factorization.

31831912225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 2121 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The spelling of 31831912225 in words is "thirty-one billion, eight hundred thirty-one million, nine hundred twelve thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 2099 7225 10495 35683 52475 178415 606611 892075 3033055 4405801 15165275 22029005 74898617 110145025 374493085 1273276489 1872465425 6366382445 31831912225