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198374148 = 2232721071051
BaseRepresentation
bin10111101001011…
…11001100000100
3111211021110011200
423310233030010
5401240433043
631403502500
74626103200
oct1364571404
9454243150
10198374148
11a1a82485
1256527a30
133213826b
141c4bbb00
15126377d3
hexbd2f304

198374148 has 108 divisors (see below), whose sum is σ = 589326192. Its totient is φ = 56095200.

The previous prime is 198374129. The next prime is 198374161. The reversal of 198374148 is 841473891.

It is a happy number.

198374148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 188223 + ... + 189273.

It is an arithmetic number, because the mean of its divisors is an integer number (5456724).

Almost surely, 2198374148 is an apocalyptic number.

198374148 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 198374148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294663096).

198374148 is an abundant number, since it is smaller than the sum of its proper divisors (390952044).

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

198374148 is a wasteful number, since it uses less digits than its factorization.

198374148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1170 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 198374148 is about 14084.5357750975. The cubic root of 198374148 is about 583.2145607072.

The spelling of 198374148 in words is "one hundred ninety-eight million, three hundred seventy-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 107 126 147 196 214 252 294 321 428 441 588 642 749 882 963 1051 1284 1498 1764 1926 2102 2247 2996 3153 3852 4204 4494 5243 6306 6741 7357 8988 9459 10486 12612 13482 14714 15729 18918 20972 22071 26964 29428 31458 37836 44142 47187 51499 62916 66213 88284 94374 102998 112457 132426 154497 188748 205996 224914 264852 308994 337371 449828 463491 617988 674742 787199 926982 1012113 1349484 1574398 1853964 2024226 2361597 3148796 4048452 4723194 5510393 7084791 9446388 11020786 14169582 16531179 22041572 28339164 33062358 49593537 66124716 99187074 198374148