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622428840 = 23335113433
BaseRepresentation
bin100101000110011…
…000001010101000
31121101012122212000
4211012120022220
52233320210330
6141432451000
721265362225
oct4506301250
91541178760
10622428840
1129a388000
12154549a60
139bc4c6b7
145c94494c
153999d560
hex251982a8

622428840 has 256 divisors, whose sum is σ = 2287353600. Its totient is φ = 150543360.

The previous prime is 622428797. The next prime is 622428841. The reversal of 622428840 is 48824226.

It is a happy number.

622428840 is a `hidden beast` number, since 622 + 4 + 28 + 8 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 622428795 and 622428804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (622428841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1437264 + ... + 1437696.

It is an arithmetic number, because the mean of its divisors is an integer number (8934975).

Almost surely, 2622428840 is an apocalyptic number.

622428840 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 622428840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143676800).

622428840 is an abundant number, since it is smaller than the sum of its proper divisors (1664924760).

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

622428840 is a wasteful number, since it uses less digits than its factorization.

622428840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 622428840 is about 24948.5238040250. The cubic root of 622428840 is about 853.8139294463.

The spelling of 622428840 in words is "six hundred twenty-two million, four hundred twenty-eight thousand, eight hundred forty".