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312233216 = 285212341
BaseRepresentation
bin10010100111000…
…100110100000000
3210202112002110012
4102213010310000
51114412430331
650552124052
710510636631
oct2247046400
9722462405
10312233216
1115027a489
1288696628
134c8c1ca9
142d679888
151c62882b
hex129c4d00

312233216 has 36 divisors (see below), whose sum is σ = 624709764. Its totient is φ = 155750400.

The previous prime is 312233179. The next prime is 312233219. The reversal of 312233216 is 612332213.

312233216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 145926400 + 166306816 = 12080^2 + 12896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312233191 and 312233200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312233219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132206 + ... + 134546.

It is an arithmetic number, because the mean of its divisors is an integer number (17353049).

Almost surely, 2312233216 is an apocalyptic number.

It is an amenable number.

312233216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

312233216 is an equidigital number, since it uses as much as digits as its factorization.

312233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2864 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 312233216 is about 17670.1221274783. The cubic root of 312233216 is about 678.4112389855.

Adding to 312233216 its reverse (612332213), we get a palindrome (924565429).

The spelling of 312233216 in words is "three hundred twelve million, two hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 521 1042 2084 2341 4168 4682 8336 9364 16672 18728 33344 37456 66688 74912 133376 149824 299648 599296 1219661 2439322 4878644 9757288 19514576 39029152 78058304 156116608 312233216