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622116768 = 253713175971
BaseRepresentation
bin100101000101001…
…011111110100000
31121100121210202210
4211011023332200
52233230214033
6141422042120
721262622340
oct4505137640
91540553683
10622116768
1129a194599
12154419340
139bb70640
145c8a2d20
153993ad63
hex2514bfa0

622116768 has 384 divisors, whose sum is σ = 2194698240. Its totient is φ = 149667840.

The previous prime is 622116763. The next prime is 622116871. The reversal of 622116768 is 867611226.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (622116763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8762173 + ... + 8762243.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2622116768 is an apocalyptic number.

622116768 is a gapful number since it is divisible by the number (68) 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 622116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097349120).

622116768 is an abundant number, since it is smaller than the sum of its proper divisors (1572581472).

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

622116768 is a wasteful number, since it uses less digits than its factorization.

622116768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 622116768 is about 24942.2687019445. The cubic root of 622116768 is about 853.6712111430.

The spelling of 622116768 in words is "six hundred twenty-two million, one hundred sixteen thousand, seven hundred sixty-eight".