Search a number
-
+
23234568000 = 2635371929251
BaseRepresentation
bin10101101000111000…
…110101111101000000
32012222020221100101120
4111220320311331000
5340041022134000
614401313232240
71451526366210
oct255070657500
965866840346
1023234568000
119943342916
124605262680
13226385a6b7
1411a5b0c240
1590ebe66a0
hex568e35f40

23234568000 has 896 divisors, whose sum is σ = 95858380800. Its totient is φ = 4838400000.

The previous prime is 23234567987. The next prime is 23234568011. The reversal of 23234568000 is 86543232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92567875 + ... + 92568125.

It is an arithmetic number, because the mean of its divisors is an integer number (106984800).

Almost surely, 223234568000 is an apocalyptic number.

23234568000 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 23234568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47929190400).

23234568000 is an abundant number, since it is smaller than the sum of its proper divisors (72623812800).

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

23234568000 is a wasteful number, since it uses less digits than its factorization.

23234568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 23234568000 in words is "twenty-three billion, two hundred thirty-four million, five hundred sixty-eight thousand".