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42212221224 = 2331758842551
BaseRepresentation
bin100111010100000010…
…110110000100101000
311000221211202000111220
4213110002312010220
51142422312034344
631220402222040
73023025650235
oct472402660450
9130854660456
1042212221224
11169a1775648
128220954920
133c994a27c4
14208630a78c
151170d19c19
hex9d40b6128

42212221224 has 16 divisors (see below), whose sum is σ = 105530553120. Its totient is φ = 14070740400.

The previous prime is 42212221223. The next prime is 42212221319.

42212221224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1758842551 = 42212221224 / (4 + 2 + 2 + 1 + 2 + 2 + 2 + 1 + 2 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42212221194 and 42212221203.

It is not an unprimeable number, because it can be changed into a prime (42212221223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 879421252 + ... + 879421299.

It is an arithmetic number, because the mean of its divisors is an integer number (6595659570).

Almost surely, 242212221224 is an apocalyptic number.

It is an amenable number.

42212221224 is an abundant number, since it is smaller than the sum of its proper divisors (63318331896).

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

42212221224 is a wasteful number, since it uses less digits than its factorization.

42212221224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758842560 (or 1758842556 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The spelling of 42212221224 in words is "forty-two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 1758842551 3517685102 5276527653 7035370204 10553055306 14070740408 21106110612 42212221224