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23420275200 = 29345272461
BaseRepresentation
bin10101110011111101…
…010000101000000000
32020110012101020210000
4111303331100220000
5340431042301300
614431545440000
71456243024500
oct256375205000
966405336700
1023420275200
119a29153443
1246574a0000
13229317c20a
1411c264da00
1592117ac00
hex573f50a00

23420275200 has 900 divisors, whose sum is σ = 101050747182. Its totient is φ = 5341593600.

The previous prime is 23420275183. The next prime is 23420275259. The reversal of 23420275200 is 257202432.

It can be written as a sum of positive squares in 3 ways, for example, as 15372032256 + 8048242944 = 123984^2 + 89712^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50802970 + ... + 50803430.

Almost surely, 223420275200 is an apocalyptic number.

23420275200 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 23420275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50525373591).

23420275200 is an abundant number, since it is smaller than the sum of its proper divisors (77630471982).

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

23420275200 is an equidigital number, since it uses as much as digits as its factorization.

23420275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 23420275200 its reverse (257202432), we get a palindrome (23677477632).

The spelling of 23420275200 in words is "twenty-three billion, four hundred twenty million, two hundred seventy-five thousand, two hundred".