Search a number
-
+
4223923200 = 2103552797
BaseRepresentation
bin1111101111000011…
…1111010000000000
3101220101001112100000
43323300333100000
532122311020300
61535045200000
7206446516620
oct37360772000
911811045300
104223923200
111878327022
1299a700000
13524133a53
142c0da2880
1519ac57c00
hexfbc3f400

4223923200 has 792 divisors, whose sum is σ = 18109104832. Its totient is φ = 955514880.

The previous prime is 4223923181. The next prime is 4223923211. The reversal of 4223923200 is 23293224.

4223923200 is a `hidden beast` number, since 422 + 3 + 9 + 232 + 0 + 0 = 666.

4223923200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43545552 + ... + 43545648.

Almost surely, 24223923200 is an apocalyptic number.

4223923200 is a gapful number since it is divisible by the number (40) 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 4223923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9054552416).

4223923200 is an abundant number, since it is smaller than the sum of its proper divisors (13885181632).

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

4223923200 is an equidigital number, since it uses as much as digits as its factorization.

4223923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4223923200 is about 64991.7163952453. The cubic root of 4223923200 is about 1616.4862112440.

The spelling of 4223923200 in words is "four billion, two hundred twenty-three million, nine hundred twenty-three thousand, two hundred".