Search a number
-
+
2247631312 = 242967197367
BaseRepresentation
bin1000010111111000…
…0010000111010000
312210122022111112011
42011332002013100
514100343200222
61011010312304
7106461356653
oct20576020720
95718274464
102247631312
11a53802743
12528888694
1329a86a874
1417471989a
15d24c9c77
hex85f821d0

2247631312 has 80 divisors (see below), whose sum is σ = 4607919360. Its totient is φ = 1060545024.

The previous prime is 2247631307. The next prime is 2247631313. The reversal of 2247631312 is 2131367422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2247631313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6124153 + ... + 6124519.

It is an arithmetic number, because the mean of its divisors is an integer number (57598992).

Almost surely, 22247631312 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 2247631312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303959680).

2247631312 is an abundant number, since it is smaller than the sum of its proper divisors (2360288048).

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

2247631312 is a wasteful number, since it uses less digits than its factorization.

2247631312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 2247631312 is about 47409.1901639334. The cubic root of 2247631312 is about 1309.9107046334.

Adding to 2247631312 its reverse (2131367422), we get a palindrome (4378998734).

The spelling of 2247631312 in words is "two billion, two hundred forty-seven million, six hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 58 67 116 134 197 232 268 367 394 464 536 734 788 1072 1468 1576 1943 2936 3152 3886 5713 5872 7772 10643 11426 13199 15544 21286 22852 24589 26398 31088 42572 45704 49178 52796 72299 85144 91408 98356 105592 144598 170288 196712 211184 289196 382771 393424 578392 713081 765542 1156784 1426162 1531084 2096671 2852324 3062168 4193342 4844033 5704648 6124336 8386684 9688066 11409296 16773368 19376132 33546736 38752264 77504528 140476957 280953914 561907828 1123815656 2247631312