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920212225 = 5260672
BaseRepresentation
bin110110110110010…
…101001100000001
32101010112121212021
4312312111030001
53341033242400
6231151201441
731542450322
oct6666251401
92333477767
10920212225
11432488079
12218216281
1311885259a
148a2dc449
1555bc071a
hex36d95301

920212225 has 9 divisors (see below), whose sum is σ = 1141251267. Its totient is φ = 736048440.

The previous prime is 920212219. The next prime is 920212247. The reversal of 920212225 is 522212029.

The square root of 920212225 is 30335.

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

It can be written as a sum of positive squares in only one way, i.e., 331276401 + 588935824 = 18201^2 + 24268^2 .

It is not a de Polignac number, because 920212225 - 211 = 920210177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 920212225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 148642 + ... + 154708.

Almost surely, 2920212225 is an apocalyptic number.

920212225 is the 30335-th square number.

920212225 is the 15168-th centered octagonal number.

It is an amenable number.

920212225 is a deficient number, since it is larger than the sum of its proper divisors (221039042).

920212225 is an frugal number, since it uses more digits than its factorization.

920212225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 920212225 is about 972.6636058545.

Multiplying 920212225 by its sum of digits (25), we get a square (23005305625 = 1516752).

920212225 divided by its sum of digits (25) gives a square (36808489 = 60672).

The spelling of 920212225 in words is "nine hundred twenty million, two hundred twelve thousand, two hundred twenty-five".

Divisors: 1 5 25 6067 30335 151675 36808489 184042445 920212225