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225926652 = 223722231723
BaseRepresentation
bin11010111011101…
…01110111111100
3120202010021002210
431131311313330
5430314123102
634230220420
75412226200
oct1535656774
9522107083
10225926652
11106591046
12637b4710
1337a64213
1422010b00
1514c7b36c
hexd775dfc

225926652 has 72 divisors (see below), whose sum is σ = 616336896. Its totient is φ = 64223712.

The previous prime is 225926647. The next prime is 225926669. The reversal of 225926652 is 256629522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 225926652.

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, 130263 + ... + 131985.

Almost surely, 2225926652 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 225926652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308168448).

225926652 is an abundant number, since it is smaller than the sum of its proper divisors (390410244).

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

225926652 is a wasteful number, since it uses less digits than its factorization.

225926652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1958 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 225926652 is about 15030.8566622132. The cubic root of 225926652 is about 609.0540314064.

The spelling of 225926652 in words is "two hundred twenty-five million, nine hundred twenty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 223 294 446 588 669 892 1338 1561 1723 2676 3122 3446 4683 5169 6244 6892 9366 10338 10927 12061 18732 20676 21854 24122 32781 36183 43708 48244 65562 72366 84427 131124 144732 168854 253281 337708 384229 506562 768458 1013124 1152687 1536916 2305374 2689603 4610748 5379206 8068809 10758412 16137618 18827221 32275236 37654442 56481663 75308884 112963326 225926652