Search a number
-
+
422423324224 = 26112326088397
BaseRepresentation
bin1100010010110100110…
…01000110011001000000
31111101100102000021010121
412021122121012121000
523410110332333344
6522020353510024
742343021004056
oct6113231063100
91441312007117
10422423324224
1115316aa54810
1269a50872314
1330ab00aa125
141663425a1d6
15aec5296684
hex625a646640

422423324224 has 56 divisors (see below), whose sum is σ = 954209245248. Its totient is φ = 183662307840.

The previous prime is 422423324179. The next prime is 422423324243.

422423324224 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 422423324224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13028007 + ... + 13060390.

It is an arithmetic number, because the mean of its divisors is an integer number (17039450808).

Almost surely, 2422423324224 is an apocalyptic number.

422423324224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422423324224 is an abundant number, since it is smaller than the sum of its proper divisors (531785921024).

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

422423324224 is a wasteful number, since it uses less digits than its factorization.

422423324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26088443 (or 26088433 counting only the distinct ones).

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

It can be divided in two parts, 422423 and 324224, that added together give a palindrome (746647).

The spelling of 422423324224 in words is "four hundred twenty-two billion, four hundred twenty-three million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 4048 8096 16192 26088397 52176794 104353588 208707176 286972367 417414352 573944734 600033131 834828704 1147889468 1200066262 1669657408 2295778936 2400132524 4591557872 4800265048 6600364441 9183115744 9600530096 13200728882 18366231488 19201060192 26401457764 38402120384 52802915528 105605831056 211211662112 422423324224