Search a number
-
+
2247093396 = 2232412236827
BaseRepresentation
bin1000010111101111…
…1110110010010100
312210121022011122100
42011323332302110
514100223442041
61010551002100
7106453656462
oct20573766224
95717264570
102247093396
11a53475589
12528669330
1329a70ca82
14174619832
15d24206b6
hex85efec94

2247093396 has 72 divisors (see below), whose sum is σ = 5845641984. Its totient is φ = 727378560.

The previous prime is 2247093389. The next prime is 2247093397. The reversal of 2247093396 is 6933907422.

2247093396 is a `hidden beast` number, since 2 + 2 + 470 + 93 + 3 + 96 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2247093397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325735 + ... + 332561.

It is an arithmetic number, because the mean of its divisors is an integer number (81189472).

Almost surely, 22247093396 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 2247093396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922820992).

2247093396 is an abundant number, since it is smaller than the sum of its proper divisors (3598548588).

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

2247093396 is a wasteful number, since it uses less digits than its factorization.

2247093396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7101 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 2247093396 is about 47403.5167049872. The cubic root of 2247093396 is about 1309.8061978516.

The spelling of 2247093396 in words is "two billion, two hundred forty-seven million, ninety-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 223 246 369 446 492 669 738 892 1338 1476 2007 2676 4014 6827 8028 9143 13654 18286 20481 27308 27429 36572 40962 54858 61443 81924 82287 109716 122886 164574 245772 279907 329148 559814 839721 1119628 1522421 1679442 2519163 3044842 3358884 4567263 5038326 6089684 9134526 10076652 13701789 18269052 27403578 54807156 62419261 124838522 187257783 249677044 374515566 561773349 749031132 1123546698 2247093396