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198349056 = 28321923197
BaseRepresentation
bin10111101001010…
…01000100000000
3111211020011202100
423310221010000
5401234132211
631403150400
74625640063
oct1364510400
9454204670
10198349056
11a1a65644
1256515400
1332129a09
141c4b28da
1512630156
hexbd29100

198349056 has 216 divisors, whose sum is σ = 631350720. Its totient is φ = 59609088.

The previous prime is 198349043. The next prime is 198349069. The reversal of 198349056 is 650943891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (198349043) and next prime (198349069).

It is a super-2 number, since 2×1983490562 = 78684696032182272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006750 + ... + 1006946.

It is an arithmetic number, because the mean of its divisors is an integer number (2922920).

Almost surely, 2198349056 is an apocalyptic number.

198349056 is a gapful number since it is divisible by the number (16) 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 198349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315675360).

198349056 is an abundant number, since it is smaller than the sum of its proper divisors (433001664).

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

198349056 is a wasteful number, since it uses less digits than its factorization.

198349056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 198349056 is about 14083.6449827451. The cubic root of 198349056 is about 583.1899697395.

The spelling of 198349056 in words is "one hundred ninety-eight million, three hundred forty-nine thousand, fifty-six".