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64222080 = 2735133183
BaseRepresentation
bin1111010011111…
…1001110000000
311110211211010120
43310333032000
5112420101310
610212300240
71406610246
oct364771600
9143754116
1064222080
1133284aaa
1219611680
13103c7940
14875a796
155988b70
hex3d3f380

64222080 has 256 divisors, whose sum is σ = 230307840. Its totient is φ = 15114240.

The previous prime is 64222063. The next prime is 64222087. The reversal of 64222080 is 8022246.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64222080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64222087) 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, 773719 + ... + 773801.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 264222080 is an apocalyptic number.

64222080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

64222080 is an abundant number, since it is smaller than the sum of its proper divisors (166085760).

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

64222080 is a wasteful number, since it uses less digits than its factorization.

64222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 64222080 is about 8013.8679799458. The cubic root of 64222080 is about 400.4621325448.

It can be divided in two parts, 642 and 22080, that added together give a palindrome (22722).

The spelling of 64222080 in words is "sixty-four million, two hundred twenty-two thousand, eighty".