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20400222224 = 241775000817
BaseRepresentation
bin10010111111111100…
…101011000000010000
31221122201121122221002
4102333330223000100
5313234424102344
613212143321132
71321352012354
oct227774530020
957581548832
1020400222224
118719436998
123b53bb01a8
131c01596415
14db7507464
157e5e7544e
hex4bff2b010

20400222224 has 20 divisors (see below), whose sum is σ = 41850456444. Its totient is φ = 9600104448.

The previous prime is 20400222149. The next prime is 20400222229. The reversal of 20400222224 is 42222200402.

It can be written as a sum of positive squares in 2 ways, for example, as 13456000000 + 6944222224 = 116000^2 + 83332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20400222196 and 20400222205.

It is not an unprimeable number, because it can be changed into a prime (20400222229) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 37500137 + ... + 37500680.

Almost surely, 220400222224 is an apocalyptic number.

It is an amenable number.

20400222224 is an abundant number, since it is smaller than the sum of its proper divisors (21450234220).

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

20400222224 is a wasteful number, since it uses less digits than its factorization.

20400222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75000842 (or 75000836 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20400222224 its reverse (42222200402), we get a palindrome (62622422626).

The spelling of 20400222224 in words is "twenty billion, four hundred million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 75000817 150001634 300003268 600006536 1200013072 1275013889 2550027778 5100055556 10200111112 20400222224