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226565016 = 233411931193
BaseRepresentation
bin11011000000100…
…01101110011000
3120210022200202220
431200101232120
5431000040031
634252024040
75420525256
oct1540215630
9523280686
10226565016
11106987717
1263a62020
1337c28952
14221395d6
1514d55596
hexd811b98

226565016 has 64 divisors (see below), whose sum is σ = 583722720. Its totient is φ = 73236480.

The previous prime is 226565011. The next prime is 226565029. The reversal of 226565016 is 610565622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226565011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189316 + ... + 190508.

Almost surely, 2226565016 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 226565016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291861360).

226565016 is an abundant number, since it is smaller than the sum of its proper divisors (357157704).

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

226565016 is a wasteful number, since it uses less digits than its factorization.

226565016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 226565016 is about 15052.0768002293. The cubic root of 226565016 is about 609.6271267749.

It can be divided in two parts, 22656 and 5016, that added together give a palindrome (27672).

The spelling of 226565016 in words is "two hundred twenty-six million, five hundred sixty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 193 246 328 386 492 579 772 984 1158 1193 1544 2316 2386 3579 4632 4772 7158 7913 9544 14316 15826 23739 28632 31652 47478 48913 63304 94956 97826 146739 189912 195652 230249 293478 391304 460498 586956 690747 920996 1173912 1381494 1841992 2762988 5525976 9440209 18880418 28320627 37760836 56641254 75521672 113282508 226565016