Search a number
-
+
2213431242 = 2311372413761
BaseRepresentation
bin1000001111101110…
…0100011111001010
312201020221221211220
42003323210133022
514013114244432
61003345302510
7105564566211
oct20373443712
95636857756
102213431242
11a36473720
12519334a36
13293754c39
1416dd76078
15ce4c172c
hex83ee47ca

2213431242 has 64 divisors (see below), whose sum is σ = 4981730688. Its totient is φ = 649728000.

The previous prime is 2213431237. The next prime is 2213431249. The reversal of 2213431242 is 2421343122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2213431249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586642 + ... + 590402.

It is an arithmetic number, because the mean of its divisors is an integer number (77839542).

Almost surely, 22213431242 is an apocalyptic number.

2213431242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213431242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490865344).

2213431242 is an abundant number, since it is smaller than the sum of its proper divisors (2768299446).

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

2213431242 is a wasteful number, since it uses less digits than its factorization.

2213431242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055.

The product of its digits is 2304, while the sum is 24.

The square root of 2213431242 is about 47047.1172549392. The cubic root of 2213431242 is about 1303.2328300928.

Adding to 2213431242 its reverse (2421343122), we get a palindrome (4634774364).

The spelling of 2213431242 in words is "two billion, two hundred thirteen million, four hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 241 407 482 723 814 1221 1446 2442 2651 3761 5302 7522 7953 8917 11283 15906 17834 22566 26751 41371 53502 82742 98087 124113 139157 196174 248226 278314 294261 417471 588522 834942 906401 1530727 1812802 2719203 3061454 4592181 5438406 9184362 9970411 19940822 29911233 33536837 59822466 67073674 100610511 201221022 368905207 737810414 1106715621 2213431242