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20412224320 = 265181352421
BaseRepresentation
bin10011000000101010…
…011101001101000000
31221200120012102201011
4103000222131031000
5313301012134240
613213252450304
71321556021035
oct230052351500
957616172634
1020412224320
118725194284
123b58019994
131c03c09357
14db8d4d38c
157e70466ea
hex4c0a9d340

20412224320 has 56 divisors (see below), whose sum is σ = 48875292648. Its totient is φ = 8119756800.

The previous prime is 20412224263. The next prime is 20412224321. The reversal of 20412224320 is 2342221402.

It can be written as a sum of positive squares in 4 ways, for example, as 917362944 + 19494861376 = 30288^2 + 139624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20412224291 and 20412224300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412224321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118291 + ... + 234130.

It is an arithmetic number, because the mean of its divisors is an integer number (872773083).

Almost surely, 220412224320 is an apocalyptic number.

20412224320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20412224320 is an abundant number, since it is smaller than the sum of its proper divisors (28463068328).

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

20412224320 is a wasteful number, since it uses less digits than its factorization.

20412224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352619 (or 352609 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20412224320 its reverse (2342221402), we get a palindrome (22754445722).

The spelling of 20412224320 in words is "twenty billion, four hundred twelve million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 320 362 724 905 1448 1810 2896 3620 5792 7240 11584 14480 28960 57920 352421 704842 1409684 1762105 2819368 3524210 5638736 7048420 11277472 14096840 22554944 28193680 56387360 63788201 112774720 127576402 255152804 318941005 510305608 637882010 1020611216 1275764020 2041222432 2551528040 4082444864 5103056080 10206112160 20412224320