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198899400 = 233527232971
BaseRepresentation
bin10111101101011…
…11011011001000
3111212021010200110
423312233123020
5401404240100
631423034320
74633421430
oct1366573310
9455233613
10198899400
11a2301077
125673b9a0
133229036b
141c5b72c0
15126dd250
hexbdaf6c8

198899400 has 384 divisors, whose sum is σ = 771379200. Its totient is φ = 41395200.

The previous prime is 198899341. The next prime is 198899413. The reversal of 198899400 is 4998891.

It is a self number, because there is not a number n which added to its sum of digits gives 198899400.

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 95 ways as a sum of consecutive naturals, for example, 2801365 + ... + 2801435.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2198899400 is an apocalyptic number.

198899400 is a gapful number since it is divisible by the number (10) 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 198899400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385689600).

198899400 is an abundant number, since it is smaller than the sum of its proper divisors (572479800).

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

198899400 is a wasteful number, since it uses less digits than its factorization.

198899400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 198899400 is about 14103.1698564543. The cubic root of 198899400 is about 583.7288492292.

The spelling of 198899400 in words is "one hundred ninety-eight million, eight hundred ninety-nine thousand, four hundred".