Search a number
-
+
2212004304 = 243245733613
BaseRepresentation
bin1000001111011000…
…1000000111010000
312201011021110110100
42003312020013100
514012233114204
61003254532400
7105546504066
oct20366100720
95634243410
102212004304
11a35689634
12518967100
132933755b3
1416dac4036
15ce2dda39
hex83d881d0

2212004304 has 60 divisors (see below), whose sum is σ = 6204270436. Its totient is φ = 735699456.

The previous prime is 2212004279. The next prime is 2212004359. The reversal of 2212004304 is 4034002122.

It can be written as a sum of positive squares in 2 ways, for example, as 1249763904 + 962240400 = 35352^2 + 31020^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49002 + ... + 82614.

Almost surely, 22212004304 is an apocalyptic number.

2212004304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2212004304 is an abundant number, since it is smaller than the sum of its proper divisors (3992266132).

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

2212004304 is a wasteful number, since it uses less digits than its factorization.

2212004304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34084 (or 34075 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2212004304 is about 47031.9498213714. The cubic root of 2212004304 is about 1302.9527171511.

Adding to 2212004304 its reverse (4034002122), we get a palindrome (6246006426).

The spelling of 2212004304 in words is "two billion, two hundred twelve million, four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 457 914 1371 1828 2742 3656 4113 5484 7312 8226 10968 16452 21936 32904 33613 65808 67226 100839 134452 201678 268904 302517 403356 537808 605034 806712 1210068 1613424 2420136 4840272 15361141 30722282 46083423 61444564 92166846 122889128 138250269 184333692 245778256 276500538 368667384 553001076 737334768 1106002152 2212004304