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422256120 = 2335112132237
BaseRepresentation
bin11001001010110…
…001110111111000
31002102112211111120
4121022301313320
51331044143440
6105522225240
713315055256
oct3112616770
91072484446
10422256120
111a7397300
12b94b5220
13696348c0
14401195d6
152710cdd0
hex192b1df8

422256120 has 192 divisors, whose sum is σ = 1500176160. Its totient is φ = 94448640.

The previous prime is 422256119. The next prime is 422256127. The reversal of 422256120 is 21652224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422256127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187642 + ... + 189878.

Almost surely, 2422256120 is an apocalyptic number.

422256120 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 422256120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750088080).

422256120 is an abundant number, since it is smaller than the sum of its proper divisors (1077920040).

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

422256120 is a wasteful number, since it uses less digits than its factorization.

422256120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 422256120 is about 20548.8715018611. The cubic root of 422256120 is about 750.2257809127.

The spelling of 422256120 in words is "four hundred twenty-two million, two hundred fifty-six thousand, one hundred twenty".