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422198400 = 273521317199
BaseRepresentation
bin11001001010100…
…011110010000000
31002102102220022210
4121022203302000
51331040322100
6105521102120
713314425061
oct3112436200
91072386283
10422198400
111a73579a8
12b9487940
1369614550
1440102568
15270eac50
hex192a3c80

422198400 has 384 divisors, whose sum is σ = 1593648000. Its totient is φ = 97320960.

The previous prime is 422198389. The next prime is 422198431. The reversal of 422198400 is 4891224.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2121501 + ... + 2121699.

It is an arithmetic number, because the mean of its divisors is an integer number (4150125).

Almost surely, 2422198400 is an apocalyptic number.

422198400 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 422198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796824000).

422198400 is an abundant number, since it is smaller than the sum of its proper divisors (1171449600).

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

422198400 is a wasteful number, since it uses less digits than its factorization.

422198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 422198400 is about 20547.4669971751. The cubic root of 422198400 is about 750.1915954952.

The spelling of 422198400 in words is "four hundred twenty-two million, one hundred ninety-eight thousand, four hundred".