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423224422324 = 221119618299169
BaseRepresentation
bin1100010100010100010…
…01000010111110110100
31111110102020102021010121
412022022021002332310
523413230423003244
6522232052101324
742401616143044
oct6121211027664
91443366367117
10423224422324
11153541175660
126a035004844
1330baa055a82
14166ac7cd724
15b020788c84
hex628a242fb4

423224422324 has 48 divisors (see below), whose sum is σ = 864441547200. Its totient is φ = 179262028800.

The previous prime is 423224422303. The next prime is 423224422417.

423224422324 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 423224422324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4098589 + ... + 4200580.

It is an arithmetic number, because the mean of its divisors is an integer number (18009198900).

Almost surely, 2423224422324 is an apocalyptic number.

423224422324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

423224422324 is an abundant number, since it is smaller than the sum of its proper divisors (441217124876).

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

423224422324 is a wasteful number, since it uses less digits than its factorization.

423224422324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299264 (or 8299262 counting only the distinct ones).

The product of its digits is 147456, while the sum is 34.

It can be divided in two parts, 423224 and 422324, that added together give a palindrome (845548).

The spelling of 423224422324 in words is "four hundred twenty-three billion, two hundred twenty-four million, four hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 61 76 122 209 244 418 671 836 1159 1342 2318 2684 4636 12749 25498 50996 8299169 16598338 33196676 91290859 157684211 182581718 315368422 365163436 506249309 630736844 1012498618 1734526321 2024997236 3469052642 5568742399 6938105284 9618736871 11137484798 19237473742 22274969596 38474947484 105806105581 211612211162 423224422324