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198483264 = 2633761269
BaseRepresentation
bin10111101010010…
…01110101000000
3111211110222212000
423311021311000
5401302431024
631410104000
74630036260
oct1365116500
9454428760
10198483264
11a2047461
125657b000
1332175b25
141c5097a0
1512659cc9
hexbd49d40

198483264 has 224 divisors, whose sum is σ = 680313600. Its totient is φ = 55572480.

The previous prime is 198483217. The next prime is 198483283. The reversal of 198483264 is 462384891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737722 + ... + 737990.

Almost surely, 2198483264 is an apocalyptic number.

198483264 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 198483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340156800).

198483264 is an abundant number, since it is smaller than the sum of its proper divisors (481830336).

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

198483264 is a wasteful number, since it uses less digits than its factorization.

198483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 198483264 is about 14088.4088526703. The cubic root of 198483264 is about 583.3214737906.

The spelling of 198483264 in words is "one hundred ninety-eight million, four hundred eighty-three thousand, two hundred sixty-four".