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622248480 = 253457193
BaseRepresentation
bin100101000101101…
…100001000100000
31121100212111110000
4211011230020200
52233243422410
6141424540000
721264011340
oct4505541040
91540774400
10622248480
1129a274547
12154481600
139bbb8589
145c8d8d20
1539964dc0
hex2516c220

622248480 has 480 divisors, whose sum is σ = 2649144960. Its totient is φ = 134742528.

The previous prime is 622248479. The next prime is 622248491. The reversal of 622248480 is 84842226.

It is a happy number.

622248480 is a `hidden beast` number, since 622 + 24 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32749911 + ... + 32749929.

It is an arithmetic number, because the mean of its divisors is an integer number (5519052).

Almost surely, 2622248480 is an apocalyptic number.

622248480 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 622248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324572480).

622248480 is an abundant number, since it is smaller than the sum of its proper divisors (2026896480).

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

622248480 is an equidigital number, since it uses as much as digits as its factorization.

622248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 36 counting only the distinct ones).

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

The square root of 622248480 is about 24944.9088994127. The cubic root of 622248480 is about 853.7314521429.

The spelling of 622248480 in words is "six hundred twenty-two million, two hundred forty-eight thousand, four hundred eighty".