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2245475166 = 2311237179467
BaseRepresentation
bin1000010111010111…
…0011101101011110
312210111020221211220
42011311303231132
514044320201131
61010452154210
7106434136554
oct20565635536
95714227756
102245475166
11a5256a800
12528008966
1329a29433c
14174317bd4
15d2200e96
hex85d73b5e

2245475166 has 96 divisors (see below), whose sum is σ = 5108987520. Its totient is φ = 656948160.

The previous prime is 2245475161. The next prime is 2245475207. The reversal of 2245475166 is 6615745422.

It is a super-2 number, since 2×22454751662 = 10084317442245455112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245475161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4808065 + ... + 4808531.

It is an arithmetic number, because the mean of its divisors is an integer number (53218620).

Almost surely, 22245475166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245475166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554493760).

2245475166 is an abundant number, since it is smaller than the sum of its proper divisors (2863512354).

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

2245475166 is a wasteful number, since it uses less digits than its factorization.

2245475166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 699 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 2245475166 is about 47386.4449605581. Note that the first 3 decimals coincide. The cubic root of 2245475166 is about 1309.4917061489.

The spelling of 2245475166 in words is "two billion, two hundred forty-five million, four hundred seventy-five thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 179 222 242 358 363 407 467 537 726 814 934 1074 1221 1401 1969 2442 2802 3938 4477 5137 5907 6623 8954 10274 11814 13246 13431 15411 17279 19869 21659 26862 30822 34558 39738 43318 51837 56507 64977 72853 83593 103674 113014 129954 145706 167186 169521 190069 218559 250779 339042 380138 437118 501558 570207 801383 919523 1140414 1602766 1839046 2090759 2404149 2758569 3092941 4181518 4808298 5517138 6185882 6272277 9278823 10114753 12544554 18557646 20229506 30344259 34022351 60688518 68044702 102067053 204134106 374245861 748491722 1122737583 2245475166