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22402440040 = 2353971410733
BaseRepresentation
bin10100110111010010…
…100001101101101000
32010211021010212102111
4110313102201231220
5331340011040130
614142550012104
71422103412161
oct246722415550
963737125374
1022402440040
119556658862
124412647034
1321603390a6
1411273bc768
158b1b2502a
hex5374a1b68

22402440040 has 32 divisors (see below), whose sum is σ = 50532491880. Its totient is φ = 8938397952.

The previous prime is 22402440031. The next prime is 22402440077. The reversal of 22402440040 is 4004420422.

It can be written as a sum of positive squares in 4 ways, for example, as 22393925316 + 8514724 = 149646^2 + 2918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22402439993 and 22402440020.

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 7 ways as a sum of consecutive naturals, for example, 689487 + ... + 721246.

Almost surely, 222402440040 is an apocalyptic number.

22402440040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22402440040 is an abundant number, since it is smaller than the sum of its proper divisors (28130051840).

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

22402440040 is a wasteful number, since it uses less digits than its factorization.

22402440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411141 (or 1411137 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 22402440040 its reverse (4004420422), we get a palindrome (26406860462).

The spelling of 22402440040 in words is "twenty-two billion, four hundred two million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 397 794 1588 1985 3176 3970 7940 15880 1410733 2821466 5642932 7053665 11285864 14107330 28214660 56429320 560061001 1120122002 2240244004 2800305005 4480488008 5600610010 11201220020 22402440040