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331220032 = 26111336191
BaseRepresentation
bin10011101111100…
…000010001000000
3212002020201110121
4103233200101000
51134243020112
652511110024
711131216033
oct2357402100
9762221417
10331220032
1115aa68570
1292b12314
135380c1b0
1431dbd01a
151e129407
hex13be0440

331220032 has 56 divisors (see below), whose sum is σ = 772192512. Its totient is φ = 138969600.

The previous prime is 331220023. The next prime is 331220059. The reversal of 331220032 is 230022133.

331220032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 331219988 and 331220015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8944 + ... + 27247.

It is an arithmetic number, because the mean of its divisors is an integer number (13789152).

Almost surely, 2331220032 is an apocalyptic number.

331220032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331220032 is an abundant number, since it is smaller than the sum of its proper divisors (440972480).

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

331220032 is a wasteful number, since it uses less digits than its factorization.

331220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36227 (or 36217 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 331220032 is about 18199.4514203039. The cubic root of 331220032 is about 691.8928855111.

Adding to 331220032 its reverse (230022133), we get a palindrome (561242165).

The spelling of 331220032 in words is "three hundred thirty-one million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 36191 72382 144764 289528 398101 470483 579056 796202 940966 1158112 1592404 1881932 2316224 3184808 3763864 5175313 6369616 7527728 10350626 12739232 15055456 20701252 25478464 30110912 41402504 82805008 165610016 331220032