Search a number
-
+
2224250880 = 2133523787
BaseRepresentation
bin1000010010010011…
…0110000000000000
312202000022122121020
42010210312000000
514023402012010
61004413225440
7106055551305
oct20444660000
95660278536
102224250880
11a41593675
12520a92280
13295a728a7
141715910ac
15d040c470
hex84936000

2224250880 has 224 divisors, whose sum is σ = 7436047104. Its totient is φ = 566624256.

The previous prime is 2224250801. The next prime is 2224250881. The reversal of 2224250880 is 880524222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224250881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2825847 + ... + 2826633.

Almost surely, 22224250880 is an apocalyptic number.

2224250880 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 2224250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718023552).

2224250880 is an abundant number, since it is smaller than the sum of its proper divisors (5211796224).

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

2224250880 is an equidigital number, since it uses as much as digits as its factorization.

2224250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 2224250880 is about 47161.9643356805. The cubic root of 2224250880 is about 1305.3528559494.

The spelling of 2224250880 in words is "two billion, two hundred twenty-four million, two hundred fifty thousand, eight hundred eighty".