Search a number
-
+
2224343000 = 235311231593
BaseRepresentation
bin1000010010010100…
…1100011111011000
312202000111022222002
42010211030133120
514023412434000
61004415220132
7106056414005
oct20445143730
95660438862
102224343000
11a41646900
12520b17648
13295aa57b9
141715b68ac
15d04298d5
hex8494c7d8

2224343000 has 192 divisors, whose sum is σ = 5915669760. Its totient is φ = 781440000.

The previous prime is 2224342943. The next prime is 2224343003. The reversal of 2224343000 is 3434222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224343003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3750704 + ... + 3751296.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 22224343000 is an apocalyptic number.

2224343000 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 2224343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957834880).

2224343000 is an abundant number, since it is smaller than the sum of its proper divisors (3691326760).

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

2224343000 is a wasteful number, since it uses less digits than its factorization.

2224343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2224343000 is about 47162.9409600377. The cubic root of 2224343000 is about 1305.3708766152.

Adding to 2224343000 its reverse (3434222), we get a palindrome (2227777222).

The spelling of 2224343000 in words is "two billion, two hundred twenty-four million, three hundred forty-three thousand".