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23225040000 = 27325432257
BaseRepresentation
bin10101101000010100…
…011111110010000000
32012221121000021102200
4111220110133302000
5340031102240000
614400333113200
71451352403611
oct255024376200
965847007380
1023225040000
119938a25338
124602028800
1322618a2926
1411a474bc08
1590de63500
hex56851fc80

23225040000 has 240 divisors, whose sum is σ = 83516445870. Its totient is φ = 6193152000.

The previous prime is 23225039993. The next prime is 23225040017. The reversal of 23225040000 is 4052232.

It can be written as a sum of positive squares in 5 ways, for example, as 6594624 + 23218445376 = 2568^2 + 152376^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 703872 + ... + 736128.

Almost surely, 223225040000 is an apocalyptic number.

23225040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23225040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41758222935).

23225040000 is an abundant number, since it is smaller than the sum of its proper divisors (60291405870).

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

23225040000 is an equidigital number, since it uses as much as digits as its factorization.

23225040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32297 (or 32267 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 23225040000 its reverse (4052232), we get a palindrome (23229092232).

The spelling of 23225040000 in words is "twenty-three billion, two hundred twenty-five million, forty thousand".