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198180864 = 220337
BaseRepresentation
bin10111101000000…
…00000000000000
3111210220122001000
423310000000000
5401213241424
631355412000
74624336530
oct1364000000
9453818030
10198180864
11a1960242
1256454000
133209b2ab
141c46b4c0
15125ea3c9
hexbd00000

198180864 has 168 divisors, whose sum is σ = 671088320. Its totient is φ = 56623104.

The previous prime is 198180859. The next prime is 198180881. The reversal of 198180864 is 468081891.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28311549 + ... + 28311555.

Almost surely, 2198180864 is an apocalyptic number.

198180864 is a gapful number since it is divisible by the number (14) 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 198180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335544160).

198180864 is an abundant number, since it is smaller than the sum of its proper divisors (472907456).

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

198180864 is an frugal number, since it uses more digits than its factorization.

198180864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 198180864 is about 14077.6725349043. The cubic root of 198180864 is about 583.0250826001.

The spelling of 198180864 in words is "one hundred ninety-eight million, one hundred eighty thousand, eight hundred sixty-four".