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1107225625 = 54116
BaseRepresentation
bin100000111111110…
…1110110000011001
32212011102220000111
41001333232300121
54231422210000
6301511404321
736303156022
oct10177566031
92764386014
101107225625
11519000000
1226a9836a1
131485107bc
14a709dc49
1567311cba
hex41feec19

1107225625 has 35 divisors (see below), whose sum is σ = 1521947977. Its totient is φ = 805255000.

The previous prime is 1107225601. The next prime is 1107225631. The reversal of 1107225625 is 5265227011.

The square root of 1107225625 is 33275.

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 86806489 + 1020419136 = 9317^2 + 31944^2 .

It is a de Polignac number, because none of the positive numbers 2k-1107225625 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 100656870 + ... + 100656880.

Almost surely, 21107225625 is an apocalyptic number.

1107225625 is the 33275-th square number.

1107225625 is the 16638-th centered octagonal number.

It is an amenable number.

1107225625 is a deficient number, since it is larger than the sum of its proper divisors (414722352).

1107225625 is an frugal number, since it uses more digits than its factorization.

1107225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The cubic root of 1107225625 is about 1034.5354477394.

The spelling of 1107225625 in words is "one billion, one hundred seven million, two hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 625 1331 1375 3025 6655 6875 14641 15125 33275 73205 75625 161051 166375 366025 805255 831875 1771561 1830125 4026275 8857805 9150625 20131375 44289025 100656875 221445125 1107225625