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226568892 = 2231143179223
BaseRepresentation
bin11011000000100…
…10101010111100
3120210022220002110
431200102222330
5431000201032
634252054020
75420542464
oct1540225274
9523286073
10226568892
1110698a620
1263a64310
1337c2a644
142213aba4
1514d567cc
hexd812abc

226568892 has 96 divisors (see below), whose sum is σ = 596090880. Its totient is φ = 66386880.

The previous prime is 226568891. The next prime is 226568897. The reversal of 226568892 is 298865622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226568891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015893 + ... + 1016115.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2226568892 is an apocalyptic number.

226568892 is a gapful number since it is divisible by the number (22) 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 226568892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298045440).

226568892 is an abundant number, since it is smaller than the sum of its proper divisors (369521988).

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

226568892 is a wasteful number, since it uses less digits than its factorization.

226568892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

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

The square root of 226568892 is about 15052.2055526757. The cubic root of 226568892 is about 609.6306031887.

The spelling of 226568892 in words is "two hundred twenty-six million, five hundred sixty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 179 223 258 358 446 473 516 537 669 716 892 946 1074 1338 1419 1892 1969 2148 2453 2676 2838 3938 4906 5676 5907 7359 7697 7876 9589 9812 11814 14718 15394 19178 23091 23628 28767 29436 30788 38356 39917 46182 57534 79834 84667 92364 105479 115068 119751 159668 169334 210958 239502 254001 316437 338668 421916 439087 479004 508002 632874 878174 1016004 1265748 1317261 1716431 1756348 2634522 3432862 5149293 5269044 6865724 10298586 18880741 20597172 37761482 56642223 75522964 113284446 226568892