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312199468 = 22753792663
BaseRepresentation
bin10010100110111…
…100100100101100
3210202110101011021
4102212330210230
51114410340333
650551303524
710510436350
oct2246744454
9722411137
10312199468
11150257099
128867aba4
134c8ac819
142d66b460
151c61d82d
hex129bc92c

312199468 has 48 divisors (see below), whose sum is σ = 644474880. Its totient is φ = 129564864.

The previous prime is 312199453. The next prime is 312199483. The reversal of 312199468 is 864991213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312199453) and next prime (312199483).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115905 + ... + 118567.

It is an arithmetic number, because the mean of its divisors is an integer number (13426560).

Almost surely, 2312199468 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 312199468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322237440).

312199468 is an abundant number, since it is smaller than the sum of its proper divisors (332275412).

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

312199468 is a wasteful number, since it uses less digits than its factorization.

312199468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2804 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 312199468 is about 17669.1671563772. The cubic root of 312199468 is about 678.3867958810.

The spelling of 312199468 in words is "three hundred twelve million, one hundred ninety-nine thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 53 79 106 158 212 316 371 553 742 1106 1484 2212 2663 4187 5326 8374 10652 16748 18641 29309 37282 58618 74564 117236 141139 210377 282278 420754 564556 841508 987973 1472639 1975946 2945278 3951892 5890556 11149981 22299962 44599924 78049867 156099734 312199468