Search a number
-
+
2013114222 = 234716310891
BaseRepresentation
bin111011111111101…
…1010111101101110
312012022000210120000
41313333122331232
513110324123342
6531432005130
7100613121450
oct16777327556
95168023500
102013114222
11943394569
124822307a6
132610b9562
141515102d0
15bbb0344c
hex77fdaf6e

2013114222 has 80 divisors (see below), whose sum is σ = 5187380352. Its totient is φ = 571594320.

The previous prime is 2013114193. The next prime is 2013114223. The reversal of 2013114222 is 2224113102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2013114195 and 2013114204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013114223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179397 + ... + 190287.

Almost surely, 22013114222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013114222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593690176).

2013114222 is an abundant number, since it is smaller than the sum of its proper divisors (3174266130).

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

2013114222 is a wasteful number, since it uses less digits than its factorization.

2013114222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075 (or 11066 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2013114222 is about 44867.7414408169. The cubic root of 2013114222 is about 1262.6688667628.

Adding to 2013114222 its reverse (2224113102), we get a palindrome (4237227324).

The spelling of 2013114222 in words is "two billion, thirteen million, one hundred fourteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 163 189 326 378 489 567 978 1134 1141 1467 2282 2934 3423 4401 6846 8802 10269 10891 13203 20538 21782 26406 30807 32673 61614 65346 76237 92421 98019 152474 184842 196038 228711 294057 457422 588114 686133 882171 1372266 1764342 1775233 2058399 3550466 4116798 5325699 6175197 10651398 12350394 12426631 15977097 24853262 31954194 37279893 47931291 74559786 95862582 111839679 143793873 223679358 287587746 335519037 671038074 1006557111 2013114222