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225691704 = 23337612447
BaseRepresentation
bin11010111001111…
…00100000111000
3120201200022211000
431130330200320
5430234113304
634221205000
75410230210
oct1534744070
9521608730
10225691704
11106440577
1263700760
13379b12b4
1421d8d240
1514c31939
hexd73c838

225691704 has 128 divisors (see below), whose sum is σ = 728524800. Its totient is φ = 63400320.

The previous prime is 225691699. The next prime is 225691723. The reversal of 225691704 is 407196522.

225691704 is a `hidden beast` number, since 22 + 569 + 1 + 70 + 4 = 666.

225691704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 91009 + ... + 93455.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2225691704 is an apocalyptic number.

225691704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225691704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364262400).

225691704 is an abundant number, since it is smaller than the sum of its proper divisors (502833096).

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

225691704 is a wasteful number, since it uses less digits than its factorization.

225691704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 225691704 is about 15023.0391066522. The cubic root of 225691704 is about 608.8428335725.

The spelling of 225691704 in words is "two hundred twenty-five million, six hundred ninety-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 366 378 427 488 504 549 732 756 854 1098 1281 1464 1512 1647 1708 2196 2447 2562 3294 3416 3843 4392 4894 5124 6588 7341 7686 9788 10248 11529 13176 14682 15372 17129 19576 22023 23058 29364 30744 34258 44046 46116 51387 58728 66069 68516 88092 92232 102774 132138 137032 149267 154161 176184 205548 264276 298534 308322 411096 447801 462483 528552 597068 616644 895602 924966 1044869 1194136 1233288 1343403 1791204 1849932 2089738 2686806 3134607 3582408 3699864 4030209 4179476 5373612 6269214 8060418 8358952 9403821 10747224 12538428 16120836 18807642 25076856 28211463 32241672 37615284 56422926 75230568 112845852 225691704