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312113214 = 23279725537
BaseRepresentation
bin10010100110100…
…111100000111110
3210202021222211200
4102212213200332
51114400110324
650545400330
710506630030
oct2246474076
9722258750
10312113214
111501a8306
12886390a6
134c87c49a
142d647c50
151c602ec9
hex129a783e

312113214 has 48 divisors (see below), whose sum is σ = 780849888. Its totient is φ = 88252416.

The previous prime is 312113189. The next prime is 312113267. The reversal of 312113214 is 412311213.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547 + ... + 24990.

It is an arithmetic number, because the mean of its divisors is an integer number (16267706).

Almost surely, 2312113214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312113214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390424944).

312113214 is an abundant number, since it is smaller than the sum of its proper divisors (468736674).

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

312113214 is a wasteful number, since it uses less digits than its factorization.

312113214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25649 (or 25646 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 312113214 is about 17666.7261822897. The cubic root of 312113214 is about 678.3243155650.

Adding to 312113214 its reverse (412311213), we get a palindrome (724424427).

It can be divided in two parts, 312 and 113214, that added together give a triangular number (113526 = T476).

The spelling of 312113214 in words is "three hundred twelve million, one hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 12222 25537 51074 76611 153222 178759 229833 357518 459666 536277 1072554 1608831 2477089 3217662 4954178 7431267 14862534 17339623 22293801 34679246 44587602 52018869 104037738 156056607 312113214