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422342300880 = 24365151199241
BaseRepresentation
bin1100010010101011001…
…00000001010011010000
31111101010202112212000000
412021111210001103100
523404424112112010
6522004341130000
742341015216313
oct6112544012320
91441122485000
10422342300880
11153129244775
1269a296b9900
1330a9937c016
14166275a897a
15aebd0de7c0
hex62559014d0

422342300880 has 560 divisors, whose sum is σ = 1495622726400. Its totient is φ = 110854656000.

The previous prime is 422342300857. The next prime is 422342300911. The reversal of 422342300880 is 88003243224.

It is a happy number.

422342300880 is a `hidden beast` number, since 4 + 2 + 2 + 342 + 300 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×4223423008803 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 111 ways as a sum of consecutive naturals, for example, 1752457560 + ... + 1752457800.

Almost surely, 2422342300880 is an apocalyptic number.

422342300880 is a gapful number since it is divisible by the number (40) 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 422342300880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747811363200).

422342300880 is an abundant number, since it is smaller than the sum of its proper divisors (1073280425520).

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

422342300880 is a wasteful number, since it uses less digits than its factorization.

422342300880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 422342300880 in words is "four hundred twenty-two billion, three hundred forty-two million, three hundred thousand, eight hundred eighty".