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865242225 = 3252372532
BaseRepresentation
bin110011100100101…
…000110001110001
32020022002212012100
4303210220301301
53233000222400
6221505051013
730304303041
oct6344506161
92208085170
10865242225
11404452321
12201926a69
1310a346c63
1482cad721
1550e63100
hex33928c71

865242225 has 81 divisors (see below), whose sum is σ = 1623381123. Its totient is φ = 440519040.

The previous prime is 865242211. The next prime is 865242227. The reversal of 865242225 is 522242568.

The square root of 865242225 is 29415.

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 50253921 + 814988304 = 7089^2 + 28548^2 .

It is not a de Polignac number, because 865242225 - 27 = 865242097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 865242225.

It is not an unprimeable number, because it can be changed into a prime (865242227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16325299 + ... + 16325351.

Almost surely, 2865242225 is an apocalyptic number.

865242225 is the 29415-th square number.

865242225 is the 14708-th centered octagonal number.

It is an amenable number.

865242225 is a deficient number, since it is larger than the sum of its proper divisors (758138898).

865242225 is a wasteful number, since it uses less digits than its factorization.

865242225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The cubic root of 865242225 is about 952.8968730748.

Multiplying 865242225 by its sum of digits (36), we get a square (31148720100 = 1764902).

The spelling of 865242225 in words is "eight hundred sixty-five million, two hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 53 75 111 159 185 225 265 333 477 555 795 925 1325 1369 1665 1961 2385 2775 2809 3975 4107 5883 6845 8325 8427 9805 11925 12321 14045 17649 20535 25281 29415 34225 42135 49025 61605 70225 72557 88245 102675 103933 126405 147075 210675 217671 308025 311799 362785 441225 519665 632025 653013 935397 1088355 1558995 1813925 2598325 3265065 3845521 4676985 5441775 7794975 11536563 16325325 19227605 23384925 34609689 57682815 96138025 173048445 288414075 865242225