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198248180 = 225132273359
BaseRepresentation
bin10111101000100…
…00011011110100
3111211001001101012
423310100123310
5401222420210
631401051352
74625040014
oct1364203364
9454031335
10198248180
11a19a6879
1256486b58
13320c2b20
141c487c44
1512610305
hexbd106f4

198248180 has 48 divisors (see below), whose sum is σ = 450455040. Its totient is φ = 72855168.

The previous prime is 198248177. The next prime is 198248191. The reversal of 198248180 is 81842891.

198248180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57341 + ... + 60699.

It is an arithmetic number, because the mean of its divisors is an integer number (9384480).

Almost surely, 2198248180 is an apocalyptic number.

198248180 is a gapful number since it is divisible by the number (10) 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 198248180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

198248180 is an abundant number, since it is smaller than the sum of its proper divisors (252206860).

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

198248180 is a wasteful number, since it uses less digits than its factorization.

198248180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 41.

The square root of 198248180 is about 14080.0632100854. The cubic root of 198248180 is about 583.0910870785.

The spelling of 198248180 in words is "one hundred ninety-eight million, two hundred forty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 227 260 454 908 1135 2270 2951 3359 4540 5902 6718 11804 13436 14755 16795 29510 33590 43667 59020 67180 87334 174668 218335 436670 762493 873340 1524986 3049972 3812465 7624930 9912409 15249860 19824818 39649636 49562045 99124090 198248180