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422871372 = 22327211193137
BaseRepresentation
bin11001001101001…
…000000101001100
31002110201002110200
4121031020011030
51331223340442
6105543333500
713323230100
oct3115100514
91073632420
10422871372
111a7777580
12b9751290
13697bb961
1440239900
15271d034c
hex1934814c

422871372 has 432 divisors, whose sum is σ = 1513774080. Its totient is φ = 97977600.

The previous prime is 422871347. The next prime is 422871377. The reversal of 422871372 is 273178224.

422871372 is a `hidden beast` number, since 4 + 2 + 287 + 1 + 372 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (422871377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11428938 + ... + 11428974.

Almost surely, 2422871372 is an apocalyptic number.

422871372 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 422871372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756887040).

422871372 is an abundant number, since it is smaller than the sum of its proper divisors (1090902708).

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

422871372 is a wasteful number, since it uses less digits than its factorization.

422871372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 422871372 is about 20563.8365097566. The cubic root of 422871372 is about 750.5899784456.

The spelling of 422871372 in words is "four hundred twenty-two million, eight hundred seventy-one thousand, three hundred seventy-two".