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312220002234 = 23715149230527
BaseRepresentation
bin1001000101100011100…
…00110010011110111010
31002211220011000110102110
410202301300302132322
520103411310032414
6355233142113150
731362050142120
oct4426160623672
91084804013373
10312220002234
111104590628a8
1250615a1b7b6
1323599731b6a
141117c06b910
1581c53da459
hex48b1c327ba

312220002234 has 32 divisors (see below), whose sum is σ = 718371864576. Its totient is φ = 88614946800.

The previous prime is 312220002229. The next prime is 312220002239. The reversal of 312220002234 is 432200022213.

It is an interprime number because it is at equal distance from previous prime (312220002229) and next prime (312220002239).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 312220002234.

It is not an unprimeable number, because it can be changed into a prime (312220002239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24608922 + ... + 24621605.

It is an arithmetic number, because the mean of its divisors is an integer number (22449120768).

Almost surely, 2312220002234 is an apocalyptic number.

312220002234 is an abundant number, since it is smaller than the sum of its proper divisors (406151862342).

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

312220002234 is a wasteful number, since it uses less digits than its factorization.

312220002234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49230690.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 312220002234 its reverse (432200022213), we get a palindrome (744420024447).

The spelling of 312220002234 in words is "three hundred twelve billion, two hundred twenty million, two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 151 302 453 906 1057 2114 3171 6342 49230527 98461054 147691581 295383162 344613689 689227378 1033841067 2067682134 7433809577 14867619154 22301428731 44602857462 52036667039 104073334078 156110001117 312220002234