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312200226 = 232134728387
BaseRepresentation
bin10010100110111…
…100110000100010
3210202110102012100
4102212330300202
51114410401401
650551311230
710510441512
oct2246746042
9722412170
10312200226
11150257718
128867b516
134c8acc80
142d66b842
151c61db86
hex129bcc22

312200226 has 48 divisors (see below), whose sum is σ = 743992704. Its totient is φ = 94014432.

The previous prime is 312200219. The next prime is 312200227. The reversal of 312200226 is 622002213.

It is a super-2 number, since 2×3122002262 = 194937962228902152, which contains 22 as substring.

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 = 312200199 and 312200208.

It is not an unprimeable number, because it can be changed into a prime (312200227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3196 + ... + 25191.

It is an arithmetic number, because the mean of its divisors is an integer number (15499848).

Almost surely, 2312200226 is an apocalyptic number.

312200226 is an abundant number, since it is smaller than the sum of its proper divisors (431792478).

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

312200226 is a wasteful number, since it uses less digits than its factorization.

312200226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28455 (or 28452 counting only the distinct ones).

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

The square root of 312200226 is about 17669.1886061585. The cubic root of 312200226 is about 678.3873449069.

Adding to 312200226 its reverse (622002213), we get a palindrome (934202439).

The spelling of 312200226 in words is "three hundred twelve million, two hundred thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 234 282 423 611 846 1222 1833 3666 5499 10998 28387 56774 85161 170322 255483 369031 510966 738062 1107093 1334189 2214186 2668378 3321279 4002567 6642558 8005134 12007701 17344457 24015402 34688914 52033371 104066742 156100113 312200226