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2223242640 = 243451033331
BaseRepresentation
bin1000010010000011…
…1111110110010000
312201221102102120000
42010200333312100
514023122231030
61004335450000
7106044151653
oct20440776620
95657372500
102223242640
11a40a65113
12520686900
132957ab9b8
141713ab89a
15d02ad860
hex8483fd90

2223242640 has 200 divisors, whose sum is σ = 7798959168. Its totient is φ = 586932480.

The previous prime is 2223242627. The next prime is 2223242641. The reversal of 2223242640 is 462423222.

It is a happy number.

2223242640 is a `hidden beast` number, since 2 + 2 + 232 + 426 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2223242641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 665775 + ... + 669105.

Almost surely, 22223242640 is an apocalyptic number.

2223242640 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 2223242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899479584).

2223242640 is an abundant number, since it is smaller than the sum of its proper divisors (5575716528).

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

2223242640 is a wasteful number, since it uses less digits than its factorization.

2223242640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2223242640 is about 47151.2740018761. The cubic root of 2223242640 is about 1305.1555898516.

Adding to 2223242640 its reverse (462423222), we get a palindrome (2685665862).

The spelling of 2223242640 in words is "two billion, two hundred twenty-three million, two hundred forty-two thousand, six hundred forty".