Search a number
-
+
23421333600 = 2533527222129
BaseRepresentation
bin10101110100000001…
…010011000001100000
32020110021101000122000
4111310001103001200
5340431330133400
614432024244000
71456255023300
oct256401230140
966407330560
1023421333600
119a29806655
124657910600
13229345cba2
1411c2847600
159212d9600
hex574053060

23421333600 has 432 divisors, whose sum is σ = 98541349200. Its totient is φ = 5353205760.

The previous prime is 23421333577. The next prime is 23421333601. The reversal of 23421333600 is 633312432.

It is a happy number.

23421333600 is a `hidden beast` number, since 2 + 3 + 4 + 21 + 3 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23421333601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047336 + ... + 1069464.

It is an arithmetic number, because the mean of its divisors is an integer number (228104975).

Almost surely, 223421333600 is an apocalyptic number.

23421333600 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 23421333600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49270674600).

23421333600 is an abundant number, since it is smaller than the sum of its proper divisors (75120015600).

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

23421333600 is a wasteful number, since it uses less digits than its factorization.

23421333600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22172 (or 22146 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The spelling of 23421333600 in words is "twenty-three billion, four hundred twenty-one million, three hundred thirty-three thousand, six hundred".