Search a number
-
+
22114212340 = 225111743913469
BaseRepresentation
bin10100100110000111…
…000001100111110100
32010002011210101100111
4110212013001213310
5330242214243330
614054212152404
71412003463163
oct244607014764
963064711314
1022114212340
119418995050
124352008704
13211570075c
1410dadd13da
1589668e32a
hex5261c19f4

22114212340 has 96 divisors (see below), whose sum is σ = 53767929600. Its totient is φ = 7550699520.

The previous prime is 22114212299. The next prime is 22114212343. The reversal of 22114212340 is 4321241122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22114212343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1635126 + ... + 1648594.

It is an arithmetic number, because the mean of its divisors is an integer number (560082600).

Almost surely, 222114212340 is an apocalyptic number.

22114212340 is a gapful number since it is divisible by the number (20) 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 22114212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883964800).

22114212340 is an abundant number, since it is smaller than the sum of its proper divisors (31653717260).

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

22114212340 is a wasteful number, since it uses less digits than its factorization.

22114212340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13945 (or 13943 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 22114212340 its reverse (4321241122), we get a palindrome (26435453462).

The spelling of 22114212340 in words is "twenty-two billion, one hundred fourteen million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 439 748 878 935 1756 1870 2195 3740 4390 4829 7463 8780 9658 13469 14926 19316 24145 26938 29852 37315 48290 53876 67345 74630 82093 96580 134690 148159 149260 164186 228973 269380 296318 328372 410465 457946 592636 740795 820930 915892 1144865 1481590 1641860 2289730 2518703 2963180 4579460 5037406 5912891 10074812 11825782 12593515 23651564 25187030 29564455 50374060 59128910 65041801 100519147 118257820 130083602 201038294 260167204 325209005 402076588 502595735 650418010 1005191470 1105710617 1300836020 2010382940 2211421234 4422842468 5528553085 11057106170 22114212340