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198238248 = 2332131971157
BaseRepresentation
bin10111101000011…
…10000000101000
3111211000112202100
423310032000220
5401222110443
631400533400
74624666035
oct1364160050
9454015670
10198238248
11a199a36a
1256481260
13320bb450
141c48438c
151260c3d3
hexbd0e028

198238248 has 192 divisors, whose sum is σ = 621129600. Its totient is φ = 56609280.

The previous prime is 198238247. The next prime is 198238277. The reversal of 198238248 is 842832891.

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

It is not an unprimeable number, because it can be changed into a prime (198238247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1262586 + ... + 1262742.

It is an arithmetic number, because the mean of its divisors is an integer number (3235050).

Almost surely, 2198238248 is an apocalyptic number.

198238248 is a gapful number since it is divisible by the number (18) 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 198238248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310564800).

198238248 is an abundant number, since it is smaller than the sum of its proper divisors (422891352).

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

198238248 is a wasteful number, since it uses less digits than its factorization.

198238248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 198238248 is about 14079.7105083876. The cubic root of 198238248 is about 583.0813495239.

The spelling of 198238248 in words is "one hundred ninety-eight million, two hundred thirty-eight thousand, two hundred forty-eight".