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10023222400 = 27523132257
BaseRepresentation
bin10010101010110111…
…00011110010000000
3221212112110110021021
421111123203302000
5131011421104100
64334332235224
7503245661512
oct112533436200
927775413237
1010023222400
114283936384
121b3890bb14
13c3975b539
146b1289bb2
153d9e48a1a
hex2556e3c80

10023222400 has 48 divisors (see below), whose sum is σ = 24760499490. Its totient is φ = 4009287680.

The previous prime is 10023222383. The next prime is 10023222403. The reversal of 10023222400 is 422232001.

It can be written as a sum of positive squares in 3 ways, for example, as 4854187584 + 5169034816 = 69672^2 + 71896^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10023222403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1562929 + ... + 1569328.

Almost surely, 210023222400 is an apocalyptic number.

10023222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023222400 is an abundant number, since it is smaller than the sum of its proper divisors (14737277090).

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

10023222400 is an equidigital number, since it uses as much as digits as its factorization.

10023222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132281 (or 3132264 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10023222400 its reverse (422232001), we get a palindrome (10445454401).

The spelling of 10023222400 in words is "ten billion, twenty-three million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 3132257 6264514 12529028 15661285 25058056 31322570 50116112 62645140 78306425 100232224 125290280 156612850 200464448 250580560 313225700 400928896 501161120 626451400 1002322240 1252902800 2004644480 2505805600 5011611200 10023222400