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213422224312 = 231119235549777
BaseRepresentation
bin1100011011000011110…
…1001011001110111000
3202101212202120022211101
43012300331023032320
511444042042134222
6242013402541144
721263541655213
oct3066075131670
9671782508741
10213422224312
118256a310a70
12354428077b4
131718301413b
14a48895877a
1558419c9927
hex31b0f4b3b8

213422224312 has 64 divisors (see below), whose sum is σ = 479500819200. Its totient is φ = 87908451840.

The previous prime is 213422224277. The next prime is 213422224319.

213422224312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213422224319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2736433 + ... + 2813344.

It is an arithmetic number, because the mean of its divisors is an integer number (7492200300).

Almost surely, 2213422224312 is an apocalyptic number.

213422224312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213422224312 is an abundant number, since it is smaller than the sum of its proper divisors (266078594888).

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

213422224312 is a wasteful number, since it uses less digits than its factorization.

213422224312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549836 (or 5549832 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 213422 and 224312, that added together give a palindrome (437734).

The spelling of 213422224312 in words is "two hundred thirteen billion, four hundred twenty-two million, two hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 418 437 506 836 874 1012 1672 1748 2024 3496 4807 9614 19228 38456 5549777 11099554 22199108 44398216 61047547 105445763 122095094 127644871 210891526 244190188 255289742 421783052 488380376 510579484 843566104 1021158968 1159903393 1404093581 2319806786 2425252549 2808187162 4639613572 4850505098 5616374324 9279227144 9701010196 11232748648 19402020392 26677778039 53355556078 106711112156 213422224312