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198645216 = 25372112349
BaseRepresentation
bin10111101011100…
…01010111100000
3111211210020000020
423311301113200
5401323121331
631413353440
74631312400
oct1365612740
9454706006
10198645216
11a2148100
1256638880
1332201763
141c54c800
151268cc96
hexbd715e0

198645216 has 216 divisors, whose sum is σ = 668644200. Its totient is φ = 51448320.

The previous prime is 198645169. The next prime is 198645229. The reversal of 198645216 is 612546891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 569010 + ... + 569358.

It is an arithmetic number, because the mean of its divisors is an integer number (3095575).

Almost surely, 2198645216 is an apocalyptic number.

198645216 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 198645216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334322100).

198645216 is an abundant number, since it is smaller than the sum of its proper divisors (469998984).

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

198645216 is a wasteful number, since it uses less digits than its factorization.

198645216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 372 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 198645216 is about 14094.1553844138. The cubic root of 198645216 is about 583.4800839674.

The spelling of 198645216 in words is "one hundred ninety-eight million, six hundred forty-five thousand, two hundred sixteen".