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64022022 = 23373109149
BaseRepresentation
bin1111010000111…
…0011000000110
311110110122201000
43310032120012
5112342201042
610204114130
71405115061
oct364163006
9143418630
1064022022
1133158769
1219535946
131035786c
1487078d8
15594974c
hex3d0e606

64022022 has 64 divisors (see below), whose sum is σ = 146520000. Its totient is φ = 20715264.

The previous prime is 64022011. The next prime is 64022027. The reversal of 64022022 is 22022046.

It is a happy number.

64022022 is a `hidden beast` number, since 640 + 2 + 2 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 64021986 and 64022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64022027) 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, 429604 + ... + 429752.

It is an arithmetic number, because the mean of its divisors is an integer number (2289375).

Almost surely, 264022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73260000).

64022022 is an abundant number, since it is smaller than the sum of its proper divisors (82497978).

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

64022022 is a wasteful number, since it uses less digits than its factorization.

64022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 64022022 is about 8001.3762566199. The cubic root of 64022022 is about 400.0458739054.

Adding to 64022022 its reverse (22022046), we get a palindrome (86044068).

The spelling of 64022022 in words is "sixty-four million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 109 146 149 218 219 298 327 438 447 654 657 894 981 1314 1341 1962 1971 2682 2943 3942 4023 5886 7957 8046 10877 15914 16241 21754 23871 32482 32631 47742 48723 65262 71613 97446 97893 143226 146169 195786 214839 292338 293679 429678 438507 587358 877014 1185593 2371186 3556779 7113558 10670337 21340674 32011011 64022022