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312206140 = 22523976997
BaseRepresentation
bin10010100110111…
…110001100111100
3210202110201022101
4102212332030330
51114411044030
650551354444
710510464661
oct2246761474
9722421271
10312206140
11150261104
1288682a24
134c8b287c
142d66da68
151c6207ca
hex129be33c

312206140 has 48 divisors (see below), whose sum is σ = 691290432. Its totient is φ = 118204416.

The previous prime is 312206129. The next prime is 312206171. The reversal of 312206140 is 41602213.

312206140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 41122 + ... + 48118.

It is an arithmetic number, because the mean of its divisors is an integer number (14401884).

Almost surely, 2312206140 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 312206140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345645216).

312206140 is an abundant number, since it is smaller than the sum of its proper divisors (379084292).

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

312206140 is a wasteful number, since it uses less digits than its factorization.

312206140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7126 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 312206140 is about 17669.3559588345. The cubic root of 312206140 is about 678.3916284372.

Adding to 312206140 its reverse (41602213), we get a palindrome (353808353).

The spelling of 312206140 in words is "three hundred twelve million, two hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 388 460 485 970 1940 2231 4462 6997 8924 11155 13994 22310 27988 34985 44620 69970 139940 160931 321862 643724 678709 804655 1357418 1609310 2714836 3218620 3393545 6787090 13574180 15610307 31220614 62441228 78051535 156103070 312206140