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225762894 = 232722331359
BaseRepresentation
bin11010111010011…
…01111001001110
3120201210221110200
431131031321032
5430243403034
634222514330
75410644600
oct1535157116
9521727420
10225762894
1110648a005
12637359a6
1337a07816
1421dab170
1514c47a99
hexd74de4e

225762894 has 144 divisors (see below), whose sum is σ = 614615040. Its totient is φ = 59542560.

The previous prime is 225762893. The next prime is 225762899. The reversal of 225762894 is 498267522.

225762894 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225762893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 628687 + ... + 629045.

It is an arithmetic number, because the mean of its divisors is an integer number (4268160).

Almost surely, 2225762894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225762894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307307520).

225762894 is an abundant number, since it is smaller than the sum of its proper divisors (388852146).

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

225762894 is a wasteful number, since it uses less digits than its factorization.

225762894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 225762894 is about 15025.4082806425. The cubic root of 225762894 is about 608.9068426670.

The spelling of 225762894 in words is "two hundred twenty-five million, seven hundred sixty-two thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 49 62 63 69 93 98 126 138 147 161 186 207 217 279 294 322 359 414 434 441 483 558 651 713 718 882 966 1077 1127 1302 1426 1449 1519 1953 2139 2154 2254 2513 2898 3038 3231 3381 3906 4278 4557 4991 5026 6417 6462 6762 7539 8257 9114 9982 10143 11129 12834 13671 14973 15078 16514 17591 20286 22258 22617 24771 27342 29946 33387 34937 35182 44919 45234 49542 52773 57799 66774 69874 74313 77903 89838 100161 104811 105546 115598 148626 155806 158319 173397 200322 209622 233709 255967 314433 316638 346794 404593 467418 511934 520191 545321 628866 701127 767901 809186 1040382 1090642 1213779 1402254 1535802 1635963 1791769 2303703 2427558 3271926 3583538 3641337 4607406 4907889 5375307 7282674 9815778 10750614 12542383 16125921 25084766 32251842 37627149 75254298 112881447 225762894