Search a number
-
+
23190451200 = 210335274793
BaseRepresentation
bin10101100110010000…
…100011010000000000
32012212011220222112000
4111212100203100000
5334443223414300
614353055504000
71450452403620
oct254620432000
965764828460
1023190451200
119920450254
1245b2528000
132257682097
14119dd06880
1590adcec00
hex566423400

23190451200 has 528 divisors, whose sum is σ = 97348114560. Its totient is φ = 5299568640.

The previous prime is 23190451181. The next prime is 23190451259. The reversal of 23190451200 is 215409132.

23190451200 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 0 + 451 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4836004 + ... + 4840796.

Almost surely, 223190451200 is an apocalyptic number.

23190451200 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 23190451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48674057280).

23190451200 is an abundant number, since it is smaller than the sum of its proper divisors (74157663360).

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

23190451200 is a wasteful number, since it uses less digits than its factorization.

23190451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 23190451200 in words is "twenty-three billion, one hundred ninety million, four hundred fifty-one thousand, two hundred".