Search a number
-
+
312142225 = 52294110501
BaseRepresentation
bin10010100110101…
…110100110010001
3210202100110122011
4102212232212101
51114402022400
650550142521
710510110433
oct2246564621
9722313564
10312142225
1115021808a
1288651a41
134c88c755
142d654653
151c60b8ba
hex129ae991

312142225 has 24 divisors (see below), whose sum is σ = 410208120. Its totient is φ = 235200000.

The previous prime is 312142211. The next prime is 312142277. The reversal of 312142225 is 522241213.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 194658304 + 117483921 = 13952^2 + 10839^2 .

It is a de Polignac number, because none of the positive numbers 2k-312142225 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312142196 and 312142205.

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, 24475 + ... + 34975.

It is an arithmetic number, because the mean of its divisors is an integer number (17092005).

Almost surely, 2312142225 is an apocalyptic number.

It is an amenable number.

312142225 is a deficient number, since it is larger than the sum of its proper divisors (98065895).

312142225 is a wasteful number, since it uses less digits than its factorization.

312142225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10581 (or 10576 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 312142225 is about 17667.5472264828. The cubic root of 312142225 is about 678.3453317179.

Adding to 312142225 its reverse (522241213), we get a palindrome (834383438).

The spelling of 312142225 in words is "three hundred twelve million, one hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 29 41 145 205 725 1025 1189 5945 10501 29725 52505 262525 304529 430541 1522645 2152705 7613225 10763525 12485689 62428445 312142225