Search a number
-
+
2208200412 = 2231122375017
BaseRepresentation
bin1000001110011110…
…0111011011011100
312200220010012111110
42003213213123130
514010244403122
61003041222020
7105502252035
oct20347473334
95626105443
102208200412
11a33520720
12517631910
13292643082
1416d3b3a8c
15cdcdb90c
hex839e76dc

2208200412 has 48 divisors (see below), whose sum is σ = 5646154752. Its totient is φ = 666142080.

The previous prime is 2208200303. The next prime is 2208200437. The reversal of 2208200412 is 2140028022.

It is a happy number.

It is a super-2 number, since 2×22082004122 = 9752298119113939488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8073 + ... + 66944.

It is an arithmetic number, because the mean of its divisors is an integer number (117628224).

Almost surely, 22208200412 is an apocalyptic number.

2208200412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208200412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823077376).

2208200412 is an abundant number, since it is smaller than the sum of its proper divisors (3437954340).

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

2208200412 is a wasteful number, since it uses less digits than its factorization.

2208200412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75258 (or 75256 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2208200412 is about 46991.4929747928. The cubic root of 2208200412 is about 1302.2054107123.

Adding to 2208200412 its reverse (2140028022), we get a palindrome (4348228434).

The spelling of 2208200412 in words is "two billion, two hundred eight million, two hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 892 1338 2453 2676 4906 7359 9812 14718 29436 75017 150034 225051 300068 450102 825187 900204 1650374 2475561 3300748 4951122 9902244 16728791 33457582 50186373 66915164 100372746 184016701 200745492 368033402 552050103 736066804 1104100206 2208200412