Search a number
-
+
2363100228 = 2232617314741
BaseRepresentation
bin1000110011011010…
…0000110001000100
320002200120221002200
42030312200301010
514314423201403
61030253234500
7112363010016
oct21466406104
96080527080
102363100228
1110029aa1a5
1255b492a30
132b8769278
14185bb61b6
15dc6d7ca3
hex8cda0c44

2363100228 has 72 divisors (see below), whose sum is σ = 6154902936. Its totient is φ = 764121600.

The previous prime is 2363100227. The next prime is 2363100239. The reversal of 2363100228 is 8220013632.

2363100228 is a `hidden beast` number, since 2 + 3 + 631 + 0 + 0 + 2 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419348484 + 1943751744 = 20478^2 + 44088^2 .

It is not an unprimeable number, because it can be changed into a prime (2363100227) 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, 152938 + ... + 167678.

It is an arithmetic number, because the mean of its divisors is an integer number (85484763).

Almost surely, 22363100228 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 2363100228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077451468).

2363100228 is an abundant number, since it is smaller than the sum of its proper divisors (3791802708).

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

2363100228 is a wasteful number, since it uses less digits than its factorization.

2363100228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14885 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2363100228 is about 48611.7293253388. The cubic root of 2363100228 is about 1331.9687856224.

The spelling of 2363100228 in words is "two billion, three hundred sixty-three million, one hundred thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 73 122 146 183 219 244 292 366 438 549 657 732 876 1098 1314 2196 2628 4453 8906 13359 14741 17812 26718 29482 40077 44223 53436 58964 80154 88446 132669 160308 176892 265338 530676 899201 1076093 1798402 2152186 2697603 3228279 3596804 4304372 5395206 6456558 8092809 9684837 10790412 12913116 16185618 19369674 32371236 38739348 65641673 131283346 196925019 262566692 393850038 590775057 787700076 1181550114 2363100228