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226525 = 52131741
BaseRepresentation
bin110111010011011101
3102111201211
4313103131
524222100
64504421
71632265
oct672335
9374654
10226525
11145212
12ab111
137c150
145c7a5
15471ba
hex374dd

226525 has 24 divisors (see below), whose sum is σ = 328104. Its totient is φ = 153600.

The previous prime is 226511. The next prime is 226531. The reversal of 226525 is 525622.

226525 = 402 + 412 + ... + 902.

It can be written as a sum of positive squares in 12 ways, for example, as 131044 + 95481 = 362^2 + 309^2 .

It is not a de Polignac number, because 226525 - 27 = 226397 is a prime.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 226496 and 226505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5505 + ... + 5545.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2226525 is an apocalyptic number.

226525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226525 is a deficient number, since it is larger than the sum of its proper divisors (101579).

226525 is a wasteful number, since it uses less digits than its factorization.

226525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 76 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The square root of 226525 is about 475.9464255565. The cubic root of 226525 is about 60.9591233803.

The spelling of 226525 in words is "two hundred twenty-six thousand, five hundred twenty-five".

Divisors: 1 5 13 17 25 41 65 85 205 221 325 425 533 697 1025 1105 2665 3485 5525 9061 13325 17425 45305 226525