Search a number
-
+
23240400000 = 27355107181
BaseRepresentation
bin10101101001001111…
…000101110010000000
32012222122220122101120
4111221033011302000
5340044020300000
614402042232240
71451630066136
oct255117056200
965878818346
1023240400000
119946666554
1246071b5680
132264b2009c
1411a67c9756
159104996a0
hex5693c5c80

23240400000 has 384 divisors, whose sum is σ = 78311862720. Its totient is φ = 6105600000.

The previous prime is 23240399999. The next prime is 23240400049. The reversal of 23240400000 is 404232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128399910 + ... + 128400090.

Almost surely, 223240400000 is an apocalyptic number.

23240400000 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 23240400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39155931360).

23240400000 is an abundant number, since it is smaller than the sum of its proper divisors (55071462720).

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

23240400000 is an equidigital number, since it uses as much as digits as its factorization.

23240400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 23240400000 its reverse (404232), we get a palindrome (23240804232).

The spelling of 23240400000 in words is "twenty-three billion, two hundred forty million, four hundred thousand".