Search a number
-
+
2244961792 = 2917972659
BaseRepresentation
bin1000010111001111…
…0110011000000000
312210110021212122001
42011303312120000
514044202234132
61010433153344
7106426601053
oct20563663000
95713255561
102244961792
11a5224a027
125279bb854
1329a144778
14174222a9a
15d214dce7
hex85cf6600

2244961792 has 80 divisors (see below), whose sum is σ = 4800161520. Its totient is φ = 1045168128.

The previous prime is 2244961787. The next prime is 2244961811. The reversal of 2244961792 is 2971694422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842959 + ... + 845617.

It is an arithmetic number, because the mean of its divisors is an integer number (60002019).

Almost surely, 22244961792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244961792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400080760).

2244961792 is an abundant number, since it is smaller than the sum of its proper divisors (2555199728).

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

2244961792 is an equidigital number, since it uses as much as digits as its factorization.

2244961792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2775 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 2244961792 is about 47381.0277642856. The cubic root of 2244961792 is about 1309.3919039268.

The spelling of 2244961792 in words is "two billion, two hundred forty-four million, nine hundred sixty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 128 136 194 256 272 388 512 544 776 1088 1552 1649 2176 2659 3104 3298 4352 5318 6208 6596 8704 10636 12416 13192 21272 24832 26384 42544 45203 49664 52768 85088 90406 105536 170176 180812 211072 257923 340352 361624 422144 515846 680704 723248 844288 1031692 1361408 1446496 2063384 2892992 4126768 4384691 5785984 8253536 8769382 11571968 16507072 17538764 23143936 33014144 35077528 66028288 70155056 132056576 140310112 280620224 561240448 1122480896 2244961792