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272835225 = 325213372521
BaseRepresentation
bin10000010000110…
…010001010011001
3201000101110120100
4100100302022121
51024321211400
643023450013
76522026655
oct2020621231
9630343510
10272835225
11130010163
1277456909
13446a9480
1428341a65
1518e45100
hex10432299

272835225 has 72 divisors (see below), whose sum is σ = 540706712. Its totient is φ = 130636800.

The previous prime is 272835217. The next prime is 272835229. The reversal of 272835225 is 522538272.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 162333081 + 110502144 = 12741^2 + 10512^2 .

It is not a de Polignac number, because 272835225 - 23 = 272835217 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 272835225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272835229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106965 + ... + 109485.

Almost surely, 2272835225 is an apocalyptic number.

272835225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

272835225 is a deficient number, since it is larger than the sum of its proper divisors (267871487).

272835225 is a wasteful number, since it uses less digits than its factorization.

272835225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2579 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 272835225 is about 16517.7245708966. The cubic root of 272835225 is about 648.5848700418.

The spelling of 272835225 in words is "two hundred seventy-two million, eight hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 37 39 45 65 75 111 117 185 195 225 325 333 481 555 585 925 975 1443 1665 2405 2521 2775 2925 4329 7215 7563 8325 12025 12605 21645 22689 32773 36075 37815 63025 93277 98319 108225 113445 163865 189075 279831 294957 466385 491595 567225 819325 839493 1212601 1399155 1474785 2331925 2457975 3637803 4197465 6063005 6995775 7373925 10913409 18189015 20987325 30315025 54567045 90945075 272835225