Search a number
-
+
198731232 = 253671217
BaseRepresentation
bin10111101100001…
…10010111100000
3111211221121000000
423312012113200
5401333344412
631415300000
74632121230
oct1366062740
9454847000
10198731232
11a21a6797
125667a600
133223195b
141c571cc0
15126a84dc
hexbd865e0

198731232 has 168 divisors, whose sum is σ = 670962096. Its totient is φ = 56733696.

The previous prime is 198731227. The next prime is 198731237. The reversal of 198731232 is 232137891.

198731232 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 (198731227) and next prime (198731237).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198731237) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 162688 + ... + 163904.

It is an arithmetic number, because the mean of its divisors is an integer number (3993822).

Almost surely, 2198731232 is an apocalyptic number.

198731232 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 198731232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335481048).

198731232 is an abundant number, since it is smaller than the sum of its proper divisors (472230864).

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

198731232 is an equidigital number, since it uses as much as digits as its factorization.

198731232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1229 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 198731232 is about 14097.2065317920. The cubic root of 198731232 is about 583.5642900066.

The spelling of 198731232 in words is "one hundred ninety-eight million, seven hundred thirty-one thousand, two hundred thirty-two".