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331112232 = 233311237383
BaseRepresentation
bin10011101111000…
…101111100101000
3212002001020121000
4103233011330220
51134231042412
652504515000
711130256533
oct2357057450
9762036530
10331112232
1115a9a4580
1292a7ba60
13537a20c9
1431d91a1a
151e1074dc
hex13bc5f28

331112232 has 256 divisors, whose sum is σ = 1074124800. Its totient is φ = 93519360.

The previous prime is 331112203. The next prime is 331112237. The reversal of 331112232 is 232211133.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 not an unprimeable number, because it can be changed into a prime (331112237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3989263 + ... + 3989345.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 2331112232 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 331112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537062400).

331112232 is an abundant number, since it is smaller than the sum of its proper divisors (743012568).

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

331112232 is a wasteful number, since it uses less digits than its factorization.

331112232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 331112232 is about 18196.4895515591. The cubic root of 331112232 is about 691.8178154278.

Adding to 331112232 its reverse (232211133), we get a palindrome (563323365).

The spelling of 331112232 in words is "three hundred thirty-one million, one hundred twelve thousand, two hundred thirty-two".