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422997876 = 22367172353
BaseRepresentation
bin11001001101100…
…110111101110100
31002110221112000000
4121031212331310
51331241413001
6105550151300
713324264650
oct3115467564
91073845000
10422997876
111a7853624
12b97b2530
1369834402
144026da60
1527207a86
hex19366f74

422997876 has 336 divisors, whose sum is σ = 1427860224. Its totient is φ = 106748928.

The previous prime is 422997803. The next prime is 422997881. The reversal of 422997876 is 678799224.

It is a super-2 number, since 2×4229978762 = 357854406201022752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7981066 + ... + 7981118.

It is an arithmetic number, because the mean of its divisors is an integer number (4249584).

Almost surely, 2422997876 is an apocalyptic number.

422997876 is a gapful number since it is divisible by the number (46) 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 422997876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713930112).

422997876 is an abundant number, since it is smaller than the sum of its proper divisors (1004862348).

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

422997876 is a wasteful number, since it uses less digits than its factorization.

422997876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 422997876 is about 20566.9121649313. The cubic root of 422997876 is about 750.6648185143.

The spelling of 422997876 in words is "four hundred twenty-two million, nine hundred ninety-seven thousand, eight hundred seventy-six".