Search a number
-
+
422434434224 = 24112400195649
BaseRepresentation
bin1100010010110110000…
…11011110110010110000
31111101101011220201012002
412021123003132302300
523410121203343344
6522021431553132
742343214305535
oct6113303366260
91441334821162
10422434434224
11153176252930
1269a5452b7a8
1330ab2499caa
141663590cd8c
15aec623d44e
hex625b0decb0

422434434224 has 20 divisors (see below), whose sum is σ = 892872781800. Its totient is φ = 192015651840.

The previous prime is 422434434217. The next prime is 422434434229.

It is a happy number.

422434434224 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (422434434229) 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 3 ways as a sum of consecutive naturals, for example, 1200097649 + ... + 1200098000.

It is an arithmetic number, because the mean of its divisors is an integer number (44643639090).

Almost surely, 2422434434224 is an apocalyptic number.

422434434224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422434434224 is an abundant number, since it is smaller than the sum of its proper divisors (470438347576).

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

422434434224 is a wasteful number, since it uses less digits than its factorization.

422434434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400195668 (or 2400195662 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

It can be divided in two parts, 422434 and 434224, that added together give a palindrome (856658).

The spelling of 422434434224 in words is "four hundred twenty-two billion, four hundred thirty-four million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 2400195649 4800391298 9600782596 19201565192 26402152139 38403130384 52804304278 105608608556 211217217112 422434434224