Search a number
-
+
198938712 = 23372295171
BaseRepresentation
bin10111101101110…
…01000001011000
3111212100010121110
423312321001120
5401412014322
631423540320
74633644150
oct1366710130
9455303543
10198938712
11a2328665
125675a6a0
13322a521b
141c5c7760
15126e9c0c
hexbdb9058

198938712 has 64 divisors (see below), whose sum is σ = 570988800. Its totient is φ = 56580480.

The previous prime is 198938711. The next prime is 198938713. The reversal of 198938712 is 217839891.

198938712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198938711) and next prime (198938713).

It is a super-2 number, since 2×1989387122 = 79153222264437888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198938711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35887 + ... + 41057.

It is an arithmetic number, because the mean of its divisors is an integer number (8921700).

Almost surely, 2198938712 is an apocalyptic number.

198938712 is a gapful number since it is divisible by the number (12) 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 198938712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285494400).

198938712 is an abundant number, since it is smaller than the sum of its proper divisors (372050088).

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

198938712 is a wasteful number, since it uses less digits than its factorization.

198938712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 5412 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The square root of 198938712 is about 14104.5635168197. The cubic root of 198938712 is about 583.7673042418.

The spelling of 198938712 in words is "one hundred ninety-eight million, nine hundred thirty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 687 916 1374 1603 1832 2748 3206 4809 5171 5496 6412 9618 10342 12824 15513 19236 20684 31026 36197 38472 41368 62052 72394 108591 124104 144788 217182 289576 434364 868728 1184159 2368318 3552477 4736636 7104954 8289113 9473272 14209908 16578226 24867339 28419816 33156452 49734678 66312904 99469356 198938712