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23333030400 = 2935217311153
BaseRepresentation
bin10101101110110000…
…011100101000000000
32020020010012202102010
4111232300130220000
5340241223433100
614415151452520
71454133325461
oct255660345000
966203182363
1023333030400
1199939840a9
124632227140
13227b083384
1411b4c1cd68
15918695750
hex56ec1ca00

23333030400 has 480 divisors, whose sum is σ = 84319031808. Its totient is φ = 5662310400.

The previous prime is 23333030393. The next prime is 23333030407. The reversal of 23333030400 is 403033332.

It is an interprime number because it is at equal distance from previous prime (23333030393) and next prime (23333030407).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (23333030407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20236224 + ... + 20237376.

Almost surely, 223333030400 is an apocalyptic number.

23333030400 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 23333030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42159515904).

23333030400 is an abundant number, since it is smaller than the sum of its proper divisors (60986001408).

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

23333030400 is a wasteful number, since it uses less digits than its factorization.

23333030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 23333030400 its reverse (403033332), we get a palindrome (23736063732).

The spelling of 23333030400 in words is "twenty-three billion, three hundred thirty-three million, thirty thousand, four hundred".