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622005328 = 2473125779
BaseRepresentation
bin100101000100110…
…000110001010000
31121100102010220101
4211010300301100
52233213132303
6141415422144
721261646420
oct4504606120
91540363811
10622005328
1129a11889a
12154384954
139bb319b9
145c874480
1539917d1d
hex25130c50

622005328 has 60 divisors (see below), whose sum is σ = 1423405920. Its totient is φ = 257929920.

The previous prime is 622005323. The next prime is 622005331. The reversal of 622005328 is 823500226.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 622005296 and 622005305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (622005323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104743 + ... + 110521.

It is an arithmetic number, because the mean of its divisors is an integer number (23723432).

Almost surely, 2622005328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 622005328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711702960).

622005328 is an abundant number, since it is smaller than the sum of its proper divisors (801400592).

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

622005328 is a wasteful number, since it uses less digits than its factorization.

622005328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 622005328 is about 24940.0346431195. The cubic root of 622005328 is about 853.6202352889.

It can be divided in two parts, 62200 and 5328, that added together give a triangular number (67528 = T367).

The spelling of 622005328 in words is "six hundred twenty-two million, five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 961 1736 1922 3472 3844 5779 6727 7688 11558 13454 15376 23116 26908 40453 46232 53816 80906 92464 107632 161812 179149 323624 358298 647248 716596 1254043 1433192 2508086 2866384 5016172 5553619 10032344 11107238 20064688 22214476 38875333 44428952 77750666 88857904 155501332 311002664 622005328