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198374456 = 23731229499
BaseRepresentation
bin10111101001011…
…11010000111000
3111211021110121002
423310233100320
5401240440311
631403504132
74626104120
oct1364572070
9454243532
10198374456
11a1a82735
1256528048
1332138447
141c4bbc80
151263793b
hexbd2f438

198374456 has 64 divisors (see below), whose sum is σ = 441600000. Its totient is φ = 81751680.

The previous prime is 198374447. The next prime is 198374483. The reversal of 198374456 is 654473891.

Its product of digits (725760) is a multiple of the sum of its prime divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 198374456.

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, 397295 + ... + 397793.

It is an arithmetic number, because the mean of its divisors is an integer number (6900000).

Almost surely, 2198374456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198374456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220800000).

198374456 is an abundant number, since it is smaller than the sum of its proper divisors (243225544).

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

198374456 is a wasteful number, since it uses less digits than its factorization.

198374456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 198374456 is about 14084.5467090709. The cubic root of 198374456 is about 583.2148625442.

The spelling of 198374456 in words is "one hundred ninety-eight million, three hundred seventy-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 229 248 434 458 499 868 916 998 1603 1736 1832 1996 3206 3493 3992 6412 6986 7099 12824 13972 14198 15469 27944 28396 30938 49693 56792 61876 99386 108283 114271 123752 198772 216566 228542 397544 433132 457084 799897 866264 914168 1599794 3199588 3542401 6399176 7084802 14169604 24796807 28339208 49593614 99187228 198374456