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225862896 = 24376779127
BaseRepresentation
bin11010111011001…
…10010011110000
3120202000000122110
431131212103300
5430310103041
634225005320
75411542260
oct1535462360
9522000573
10225862896
11106548156
1263783840
1337a411ac
1421dd57a0
1514c67516
hexd7664f0

225862896 has 160 divisors (see below), whose sum is σ = 690749440. Its totient is φ = 62270208.

The previous prime is 225862873. The next prime is 225862909. The reversal of 225862896 is 698268522.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1778385 + ... + 1778511.

It is an arithmetic number, because the mean of its divisors is an integer number (4317184).

Almost surely, 2225862896 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 225862896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345374720).

225862896 is an abundant number, since it is smaller than the sum of its proper divisors (464886544).

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

225862896 is a wasteful number, since it uses less digits than its factorization.

225862896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 225862896 is about 15028.7356753654. The cubic root of 225862896 is about 608.9967347842.

The spelling of 225862896 in words is "two hundred twenty-five million, eight hundred sixty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 79 84 112 127 134 158 168 201 237 254 268 316 336 381 402 469 474 508 536 553 632 762 804 889 938 948 1016 1072 1106 1264 1407 1524 1608 1659 1778 1876 1896 2032 2212 2667 2814 3048 3216 3318 3556 3752 3792 4424 5293 5334 5628 6096 6636 7112 7504 8509 8848 10033 10586 10668 11256 13272 14224 15879 17018 20066 21172 21336 22512 25527 26544 30099 31758 34036 37051 40132 42344 42672 51054 59563 60198 63516 68072 70231 74102 80264 84688 102108 111153 119126 120396 127032 136144 140462 148204 160528 178689 204216 210693 222306 238252 240792 254064 280924 296408 357378 408432 421386 444612 476504 481584 561848 592816 672211 714756 842772 889224 953008 1123696 1344422 1429512 1685544 1778448 2016633 2688844 2859024 3371088 4033266 4705477 5377688 8066532 9410954 10755376 14116431 16133064 18821908 28232862 32266128 37643816 56465724 75287632 112931448 225862896