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423222912 = 27327311693
BaseRepresentation
bin11001001110011…
…101111010000000
31002111100221200200
4121032131322000
51331321113122
6105555045200
713326223020
oct3116357200
91074327620
10423222912
111a7997702
12b98a0800
13698b2978
14402cba80
152724e5ac
hex1939de80

423222912 has 192 divisors, whose sum is σ = 1437596160. Its totient is φ = 116951040.

The previous prime is 423222907. The next prime is 423222913. The reversal of 423222912 is 219222324.

423222912 is a `hidden beast` number, since 423 + 2 + 229 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423222913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249138 + ... + 250830.

It is an arithmetic number, because the mean of its divisors is an integer number (7487480).

Almost surely, 2423222912 is an apocalyptic number.

423222912 is a gapful number since it is divisible by the number (42) 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 423222912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718798080).

423222912 is an abundant number, since it is smaller than the sum of its proper divisors (1014373248).

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

423222912 is a wasteful number, since it uses less digits than its factorization.

423222912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1736 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 423222912 is about 20572.3822636077. The cubic root of 423222912 is about 750.7979134777.

The spelling of 423222912 in words is "four hundred twenty-three million, two hundred twenty-two thousand, nine hundred twelve".