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64228446 = 23229711733
BaseRepresentation
bin1111010100000…
…0110001011110
311110212010212100
43311000301132
5112420302241
610212345530
71406634642
oct365006136
9143763770
1064228446
1133289867
12196152a6
13103ca7c9
14875cc22
15598a9b6
hex3d40c5e

64228446 has 48 divisors (see below), whose sum is σ = 146072160. Its totient is φ = 20368320.

The previous prime is 64228441. The next prime is 64228447. The reversal of 64228446 is 64482246.

It is a happy number.

64228446 is a `hidden beast` number, since 642 + 2 + 8 + 4 + 4 + 6 = 666.

64228446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 64228446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64228441) 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 23 ways as a sum of consecutive naturals, for example, 36196 + ... + 37928.

It is an arithmetic number, because the mean of its divisors is an integer number (3043170).

Almost surely, 264228446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64228446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73036080).

64228446 is an abundant number, since it is smaller than the sum of its proper divisors (81843714).

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

64228446 is a wasteful number, since it uses less digits than its factorization.

64228446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1838 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 64228446 is about 8014.2651565817. The cubic root of 64228446 is about 400.4753640155.

The spelling of 64228446 in words is "sixty-four million, two hundred twenty-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 29 58 71 87 142 174 213 261 426 522 639 1278 1733 2059 3466 4118 5199 6177 10398 12354 15597 18531 31194 37062 50257 100514 123043 150771 246086 301542 369129 452313 738258 904626 1107387 2214774 3568247 7136494 10704741 21409482 32114223 64228446