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312205445 = 5293758193
BaseRepresentation
bin10010100110111…
…110000010000101
3210202110200100122
4102212332002011
51114411033240
650551351325
710510462646
oct2246760205
9722420318
10312205445
11150260632
1288682545
134c8b2466
142d66d6cd
151c6204b5
hex129be085

312205445 has 16 divisors (see below), whose sum is σ = 398046960. Its totient is φ = 234630144.

The previous prime is 312205429. The next prime is 312205477. The reversal of 312205445 is 544502213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8958049 + 303247396 = 2993^2 + 17414^2 .

It is a cyclic number.

It is not a de Polignac number, because 312205445 - 24 = 312205429 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23732 + ... + 34461.

It is an arithmetic number, because the mean of its divisors is an integer number (24877935).

Almost surely, 2312205445 is an apocalyptic number.

It is an amenable number.

312205445 is a deficient number, since it is larger than the sum of its proper divisors (85841515).

312205445 is a wasteful number, since it uses less digits than its factorization.

312205445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58264.

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 312205445 is about 17669.3362920060. The cubic root of 312205445 is about 678.3911250491.

Adding to 312205445 its reverse (544502213), we get a palindrome (856707658).

The spelling of 312205445 in words is "three hundred twelve million, two hundred five thousand, four hundred forty-five".

Divisors: 1 5 29 37 145 185 1073 5365 58193 290965 1687597 2153141 8437985 10765705 62441089 312205445