Search a number
-
+
2223312000 = 27353713509
BaseRepresentation
bin1000010010000101…
…0000110010000000
312201221112221200220
42010201100302000
514023131441000
61004341143040
7106044561120
oct20441206200
95657487626
102223312000
11a41002238
125206baa80
13295804440
141713c8c80
15d02c41a0
hex84850c80

2223312000 has 512 divisors, whose sum is σ = 9088934400. Its totient is φ = 468172800.

The previous prime is 2223311939. The next prime is 2223312041. The reversal of 2223312000 is 2133222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 4367746 + ... + 4368254.

It is an arithmetic number, because the mean of its divisors is an integer number (17751825).

Almost surely, 22223312000 is an apocalyptic number.

2223312000 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 2223312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544467200).

2223312000 is an abundant number, since it is smaller than the sum of its proper divisors (6865622400).

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

2223312000 is a wasteful number, since it uses less digits than its factorization.

2223312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2223312000 is about 47152.0095011867. The cubic root of 2223312000 is about 1305.1691623168.

Adding to 2223312000 its reverse (2133222), we get a palindrome (2225445222).

The spelling of 2223312000 in words is "two billion, two hundred twenty-three million, three hundred twelve thousand".