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2224350000 = 2432554943
BaseRepresentation
bin1000010010010100…
…1110001100110000
312202000111200120100
42010211032030300
514023413200000
61004415312400
7106056443265
oct20445161460
95660450510
102224350000
11a41651094
12520b1b700
13295aa8a42
141715b926c
15d042ba00
hex8494e330

2224350000 has 180 divisors, whose sum is σ = 7782439392. Its totient is φ = 593040000.

The previous prime is 2224349977. The next prime is 2224350013. The reversal of 2224350000 is 534222.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 447529 + ... + 452471.

Almost surely, 22224350000 is an apocalyptic number.

2224350000 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 2224350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891219696).

2224350000 is an abundant number, since it is smaller than the sum of its proper divisors (5558089392).

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

2224350000 is an equidigital number, since it uses as much as digits as its factorization.

2224350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2224350000 is about 47163.0151707882. The cubic root of 2224350000 is about 1305.3722459464.

Adding to 2224350000 its reverse (534222), we get a palindrome (2224884222).

The spelling of 2224350000 in words is "two billion, two hundred twenty-four million, three hundred fifty thousand".