Search a number
-
+
23204646420 = 223519433791249
BaseRepresentation
bin10101100111000110…
…101100111000010100
32012220011122011200220
4111213012230320110
5340010342141140
614354324034340
71451014145244
oct254706547024
965804564626
1023204646420
11992846633a
1245b72329b0
13225a5b2317
1411a1b5db24
1590c285bd0
hex5671ace14

23204646420 has 192 divisors, whose sum is σ = 70224000000. Its totient is φ = 5706215424.

The previous prime is 23204646419. The next prime is 23204646461. The reversal of 23204646420 is 2464640232.

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 63 ways as a sum of consecutive naturals, for example, 18577956 + ... + 18579204.

It is an arithmetic number, because the mean of its divisors is an integer number (365750000).

Almost surely, 223204646420 is an apocalyptic number.

23204646420 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 23204646420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112000000).

23204646420 is an abundant number, since it is smaller than the sum of its proper divisors (47019353580).

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

23204646420 is a wasteful number, since it uses less digits than its factorization.

23204646420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 23204646420 in words is "twenty-three billion, two hundred four million, six hundred forty-six thousand, four hundred twenty".