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313500222 = 232719912503
BaseRepresentation
bin10010101011111…
…010001000111110
3210211220110110100
4102223322020332
51120224001342
651035221530
710524464550
oct2253721076
9724813410
10313500222
11150a653a2
1288ba78a6
134cc468b9
142d8c94d0
151c7c8e4c
hex12afa23e

313500222 has 48 divisors (see below), whose sum is σ = 780249600. Its totient is φ = 89114256.

The previous prime is 313500221. The next prime is 313500301. The reversal of 313500222 is 222005313.

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 = 313500195 and 313500204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313500221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18823 + ... + 31325.

It is an arithmetic number, because the mean of its divisors is an integer number (16255200).

Almost surely, 2313500222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313500222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390124800).

313500222 is an abundant number, since it is smaller than the sum of its proper divisors (466749378).

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

313500222 is a wasteful number, since it uses less digits than its factorization.

313500222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12717 (or 12714 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 313500222 is about 17705.9374787104. The cubic root of 313500222 is about 679.3276384668.

Adding to 313500222 its reverse (222005313), we get a palindrome (535505535).

The spelling of 313500222 in words is "three hundred thirteen million, five hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 199 398 597 1194 1393 1791 2786 3582 4179 8358 12503 12537 25006 25074 37509 75018 87521 112527 175042 225054 262563 525126 787689 1575378 2488097 4976194 7464291 14928582 17416679 22392873 34833358 44785746 52250037 104500074 156750111 313500222