Search a number
-
+
2366252144 = 242397151439
BaseRepresentation
bin1000110100001010…
…0010010001110000
320002220112001201022
42031002202101300
514321230032034
61030444555012
7112431545204
oct21502422160
96086461638
102366252144
111004762293
12560552a68
132b9300ac9
14186396b04
15dcb0bb2e
hex8d0a2470

2366252144 has 80 divisors (see below), whose sum is σ = 4876354560. Its totient is φ = 1110067200.

The previous prime is 2366252137. The next prime is 2366252173. The reversal of 2366252144 is 4412526632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5389877 + ... + 5390315.

It is an arithmetic number, because the mean of its divisors is an integer number (60954432).

Almost surely, 22366252144 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 2366252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438177280).

2366252144 is an abundant number, since it is smaller than the sum of its proper divisors (2510102416).

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

2366252144 is a wasteful number, since it uses less digits than its factorization.

2366252144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 2366252144 is about 48644.1378174185. The cubic root of 2366252144 is about 1332.5607182748.

Adding to 2366252144 its reverse (4412526632), we get a palindrome (6778778776).

The spelling of 2366252144 in words is "two billion, three hundred sixty-six million, two hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 97 151 184 194 302 368 388 439 604 776 878 1208 1552 1756 2231 2416 3473 3512 4462 6946 7024 8924 10097 13892 14647 17848 20194 27784 29294 35696 40388 42583 55568 58588 66289 80776 85166 117176 132578 161552 170332 234352 265156 336881 340664 530312 673762 681328 979409 1060624 1347524 1524647 1958818 2695048 3049294 3917636 5390096 6098588 6430033 7835272 12197176 12860066 15670544 24394352 25720132 51440264 102880528 147890759 295781518 591563036 1183126072 2366252144