Search a number
-
+
23223321000 = 2333531178193
BaseRepresentation
bin10101101000001101…
…111100000110101000
32012221110202221102000
4111220031330012220
5340030132233000
614400232211000
71451331654135
oct255015740650
965843687360
1023223321000
119937a60880
124601539a60
132261420379
1411a442158c
1590dc24000
hex56837c1a8

23223321000 has 256 divisors, whose sum is σ = 87827500800. Its totient is φ = 5629824000.

The previous prime is 23223320909. The next prime is 23223321013. The reversal of 23223321000 is 12332232.

It is a happy number.

23223321000 is a `hidden beast` number, since 2 + 322 + 332 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257904 + ... + 336096.

It is an arithmetic number, because the mean of its divisors is an integer number (343076175).

Almost surely, 223223321000 is an apocalyptic number.

23223321000 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 23223321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43913750400).

23223321000 is an abundant number, since it is smaller than the sum of its proper divisors (64604179800).

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

23223321000 is a wasteful number, since it uses less digits than its factorization.

23223321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78234 (or 78214 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23223321000 its reverse (12332232), we get a palindrome (23235653232).

The spelling of 23223321000 in words is "twenty-three billion, two hundred twenty-three million, three hundred twenty-one thousand".