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226042758 = 23323241193
BaseRepresentation
bin11010111100100…
…10001110000110
3120202100011101000
431132102032012
5430331332013
634232514130
75413221534
oct1536221606
9522304330
10226042758
111066602a7
126384b946
1337aa5016
1422041154
1514ca0973
hexd792386

226042758 has 96 divisors (see below), whose sum is σ = 540701280. Its totient is φ = 69949440.

The previous prime is 226042757. The next prime is 226042769. The reversal of 226042758 is 857240622.

226042758 is a `hidden beast` number, since 22 + 604 + 27 + 5 + 8 = 666.

226042758 is digitally balanced in base 2, 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 (226042757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1171110 + ... + 1171302.

It is an arithmetic number, because the mean of its divisors is an integer number (5632305).

Almost surely, 2226042758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226042758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270350640).

226042758 is an abundant number, since it is smaller than the sum of its proper divisors (314658522).

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

226042758 is a wasteful number, since it uses less digits than its factorization.

226042758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 226042758 is about 15034.7184210413. The cubic root of 226042758 is about 609.1583465555.

The spelling of 226042758 in words is "two hundred twenty-six million, forty-two thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 82 123 138 193 207 246 369 386 414 529 579 621 738 943 1058 1107 1158 1242 1587 1737 1886 2214 2829 3174 3474 4439 4761 5211 5658 7913 8487 8878 9522 10422 13317 14283 15826 16974 21689 23739 25461 26634 28566 39951 43378 47478 50922 65067 71217 79902 102097 119853 130134 142434 181999 195201 204194 213651 239706 306291 363998 390402 427302 545997 585603 612582 918873 1091994 1171206 1637991 1837746 2756619 3275982 4185977 4913973 5513238 8371954 9827946 12557931 25115862 37673793 75347586 113021379 226042758