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225381036 = 2231731157227
BaseRepresentation
bin11010110111100…
…00101010101100
3120201002112122210
431123300222230
5430144143121
634210410420
75404464366
oct1533605254
9521075583
10225381036
11106249121
1263590a10
1337902a7a
1421d0bd36
1514bbe876
hexd6f0aac

225381036 has 96 divisors (see below), whose sum is σ = 580995072. Its totient is φ = 67691520.

The previous prime is 225381007. The next prime is 225381041. The reversal of 225381036 is 630183522.

It is a super-2 number, since 2×2253810362 = 101593222776866592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225380994 and 225381012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992755 + ... + 992981.

It is an arithmetic number, because the mean of its divisors is an integer number (6052032).

Almost surely, 2225381036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225381036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290497536).

225381036 is an abundant number, since it is smaller than the sum of its proper divisors (355614036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225381036 is a wasteful number, since it uses less digits than its factorization.

225381036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 225381036 is about 15012.6958271991. The cubic root of 225381036 is about 608.5633448765.

The spelling of 225381036 in words is "two hundred twenty-five million, three hundred eighty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 157 186 204 227 314 372 454 471 527 628 681 908 942 1054 1362 1581 1884 2108 2669 2724 3162 3859 4867 5338 6324 7037 7718 8007 9734 10676 11577 14074 14601 15436 16014 19468 21111 23154 28148 29202 32028 35639 42222 46308 58404 71278 82739 84444 106917 119629 142556 165478 213834 239258 248217 330956 358887 427668 478516 496434 605863 717774 992868 1104809 1211726 1435548 1817589 2209618 2423452 3314427 3635178 4419236 6628854 7270356 13257708 18781753 37563506 56345259 75127012 112690518 225381036