Search a number
-
+
2249884350 = 234527611301
BaseRepresentation
bin1000011000011010…
…1000001010111110
312210210112222010000
42012012220022332
514101432244400
61011130455130
7106516462410
oct20606501276
95723488100
102249884350
11a5500145a
125295944a6
1329b17921c
14174b449b0
15d27c2600
hex861a82be

2249884350 has 240 divisors, whose sum is σ = 7267097376. Its totient is φ = 505440000.

The previous prime is 2249884339. The next prime is 2249884379. The reversal of 2249884350 is 534889422.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2249884296 and 2249884305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1728700 + ... + 1730000.

Almost surely, 22249884350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249884350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633548688).

2249884350 is an abundant number, since it is smaller than the sum of its proper divisors (5017213026).

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

2249884350 is a wasteful number, since it uses less digits than its factorization.

2249884350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2249884350 is about 47432.9458288224. The cubic root of 2249884350 is about 1310.3482457018.

The spelling of 2249884350 in words is "two billion, two hundred forty-nine million, eight hundred eighty-four thousand, three hundred fifty".