Search a number
-
+
23322066600 = 23352725122123
BaseRepresentation
bin10101101110000110…
…100111111010101000
32020012100120201220110
4111232012213322220
5340230422112400
614414120454320
71453641203160
oct255606477250
966170521813
1023322066600
119988775908
12462a61a3a0
132278a14c11
1411b35a75a0
1591772be50
hex56e1a7ea8

23322066600 has 192 divisors, whose sum is σ = 82959690240. Its totient is φ = 5309280000.

The previous prime is 23322066589. The next prime is 23322066619. The reversal of 23322066600 is 666022332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043139 + ... + 1065261.

It is an arithmetic number, because the mean of its divisors is an integer number (432081720).

Almost surely, 223322066600 is an apocalyptic number.

23322066600 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 23322066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41479845120).

23322066600 is an abundant number, since it is smaller than the sum of its proper divisors (59637623640).

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

23322066600 is a wasteful number, since it uses less digits than its factorization.

23322066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22400 (or 22391 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 23322066600 its reverse (666022332), we get a palindrome (23988088932).

The spelling of 23322066600 in words is "twenty-three billion, three hundred twenty-two million, sixty-six thousand, six hundred".