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313014222 = 232234671619
BaseRepresentation
bin10010101010000…
…011011111001110
3210210222202210100
4102222003133032
51120112423342
651020551530
710520401623
oct2252033716
9723882710
10313014222
11150763244
12889b25a6
134cb06621
142d80034a
151c72ee4c
hex12a837ce

313014222 has 48 divisors (see below), whose sum is σ = 709637760. Its totient is φ = 99526416.

The previous prime is 313014211. The next prime is 313014259. The reversal of 313014222 is 222410313.

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

It is a junction number, because it is equal to n+sod(n) for n = 313014195 and 313014204.

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, 192529 + ... + 194147.

It is an arithmetic number, because the mean of its divisors is an integer number (14784120).

Almost surely, 2313014222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313014222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354818880).

313014222 is an abundant number, since it is smaller than the sum of its proper divisors (396623538).

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

313014222 is a wasteful number, since it uses less digits than its factorization.

313014222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313014222 is about 17692.2079458727. The cubic root of 313014222 is about 678.9764170411.

Adding to 313014222 its reverse (222410313), we get a palindrome (535424535).

It can be divided in two parts, 313014 and 222, that added together give a triangular number (313236 = T791).

The spelling of 313014222 in words is "three hundred thirteen million, fourteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 467 934 1401 1619 2802 3238 4203 4857 8406 9714 10741 14571 21482 29142 32223 37237 64446 74474 96669 111711 193338 223422 335133 670266 756073 1512146 2268219 4536438 6804657 13609314 17389679 34779358 52169037 104338074 156507111 313014222