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226733442 = 23132317213
BaseRepresentation
bin11011000001110…
…10110110000010
3120210122020210220
431200322312002
5431020432232
634255403510
75422126305
oct1540726602
9523566726
10226733442
11106a92211
1263b23596
1337c87500
1422180b3c
1514d8a42c
hexd83ad82

226733442 has 48 divisors (see below), whose sum is σ = 506942208. Its totient is φ = 67504320.

The previous prime is 226733431. The next prime is 226733477. The reversal of 226733442 is 244337622.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27828 + ... + 35040.

It is an arithmetic number, because the mean of its divisors is an integer number (10561296).

Almost surely, 2226733442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226733442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253471104).

226733442 is an abundant number, since it is smaller than the sum of its proper divisors (280208766).

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

226733442 is a wasteful number, since it uses less digits than its factorization.

226733442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7262 counting only the distinct ones).

The product of its digits is 48384, while the sum is 33.

The square root of 226733442 is about 15057.6705369722. The cubic root of 226733442 is about 609.7781527773.

The spelling of 226733442 in words is "two hundred twenty-six million, seven hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 806 1014 1209 2418 5239 7213 10478 14426 15717 21639 31434 43278 93769 187538 223603 281307 447206 562614 670809 1218997 1341618 2437994 2906839 3656991 5813678 7313982 8720517 17441034 37788907 75577814 113366721 226733442