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428561226 = 233191992099
BaseRepresentation
bin11001100010110…
…101001101001010
31002212102011111000
4121202311031022
51334202424401
6110305315430
713422465432
oct3142651512
91085364430
10428561226
111aaa03435
12bb635b76
136aa31732
1440cbb2c2
1527956186
hex198b534a

428561226 has 64 divisors (see below), whose sum is σ = 1008000000. Its totient is φ = 134590896.

The previous prime is 428561219. The next prime is 428561227. The reversal of 428561226 is 622165824.

It is a happy number.

428561226 is a `hidden beast` number, since 428 + 5 + 6 + 1 + 226 = 666.

It is not an unprimeable number, because it can be changed into a prime (428561227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203125 + ... + 205223.

It is an arithmetic number, because the mean of its divisors is an integer number (15750000).

Almost surely, 2428561226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428561226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000000).

428561226 is an abundant number, since it is smaller than the sum of its proper divisors (579438774).

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

428561226 is a wasteful number, since it uses less digits than its factorization.

428561226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2322 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 428561226 is about 20701.7203632935. The cubic root of 428561226 is about 753.9414582574.

The spelling of 428561226 in words is "four hundred twenty-eight million, five hundred sixty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 199 342 398 513 597 1026 1194 1791 2099 3582 3781 4198 5373 6297 7562 10746 11343 12594 18891 22686 34029 37782 39881 56673 68058 79762 102087 113346 119643 204174 239286 358929 417701 717858 835402 1076787 1253103 2153574 2506206 3759309 7518618 7936319 11277927 15872638 22555854 23808957 47617914 71426871 142853742 214280613 428561226