Search a number
-
+
2234142042 = 2311833131303
BaseRepresentation
bin1000010100101010…
…0100110101011010
312202200221011201120
42011022210311122
514033420021132
61005405230110
7106235615436
oct20512446532
95680834646
102234142042
11a47129a90
12524262336
13297b26a52
14172a079c6
15d121302c
hex852a4d5a

2234142042 has 64 divisors (see below), whose sum is σ = 4952779776. Its totient is φ = 666207360.

The previous prime is 2234142017. The next prime is 2234142073. The reversal of 2234142042 is 2402414322.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1713963 + ... + 1715265.

It is an arithmetic number, because the mean of its divisors is an integer number (77387184).

Almost surely, 22234142042 is an apocalyptic number.

2234142042 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 2234142042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476389888).

2234142042 is an abundant number, since it is smaller than the sum of its proper divisors (2718637734).

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

2234142042 is a wasteful number, since it uses less digits than its factorization.

2234142042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2234142042 is about 47266.7117747787. The cubic root of 2234142042 is about 1307.2849468691.

Adding to 2234142042 its reverse (2402414322), we get a palindrome (4636556364).

It can be divided in two parts, 223414 and 2042, that added together give a triangular number (225456 = T671).

The spelling of 2234142042 in words is "two billion, two hundred thirty-four million, one hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 313 498 626 913 939 1303 1826 1878 2606 2739 3443 3909 5478 6886 7818 10329 14333 20658 25979 28666 42999 51958 77937 85998 108149 155874 216298 285769 324447 407839 571538 648894 815678 857307 1189639 1223517 1714614 2379278 2447034 3568917 4486229 7137834 8972458 13458687 26917374 33850637 67701274 101551911 203103822 372357007 744714014 1117071021 2234142042