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2204243340 = 22351321811201
BaseRepresentation
bin1000001101100010…
…0001010110001100
312200121200011102020
42003120201112030
514003241241330
61002420330140
7105423521265
oct20330412614
95617604366
102204243340
11a31268712
12516243950
13291888c00
1416ca6396c
15cd7a9210
hex8362158c

2204243340 has 144 divisors (see below), whose sum is σ = 6725680416. Its totient is φ = 539136000.

The previous prime is 2204243323. The next prime is 2204243347. The reversal of 2204243340 is 433424022.

It is a self number, because there is not a number n which added to its sum of digits gives 2204243340.

It is not an unprimeable number, because it can be changed into a prime (2204243347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1834740 + ... + 1835940.

It is an arithmetic number, because the mean of its divisors is an integer number (46706114).

Almost surely, 22204243340 is an apocalyptic number.

2204243340 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 2204243340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362840208).

2204243340 is an abundant number, since it is smaller than the sum of its proper divisors (4521437076).

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

2204243340 is a wasteful number, since it uses less digits than its factorization.

2204243340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2204243340 is about 46949.3699638238. The cubic root of 2204243340 is about 1301.4270994681.

Adding to 2204243340 its reverse (433424022), we get a palindrome (2637667362).

The spelling of 2204243340 in words is "two billion, two hundred four million, two hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 181 195 260 338 362 390 507 543 676 724 780 845 905 1014 1086 1201 1690 1810 2028 2172 2353 2402 2535 2715 3380 3603 3620 4706 4804 5070 5430 6005 7059 7206 9412 10140 10860 11765 12010 14118 14412 15613 18015 23530 24020 28236 30589 31226 35295 36030 46839 47060 61178 62452 70590 72060 78065 91767 93678 122356 141180 152945 156130 183534 187356 202969 217381 234195 305890 312260 367068 405938 434762 458835 468390 608907 611780 652143 811876 869524 917670 936780 1014845 1086905 1217814 1304286 1835340 2029690 2173810 2435628 2608572 2825953 3044535 3260715 4059380 4347620 5651906 6089070 6521430 8477859 11303812 12178140 13042860 14129765 16955718 28259530 33911436 36737389 42389295 56519060 73474778 84778590 110212167 146949556 169557180 183686945 220424334 367373890 440848668 551060835 734747780 1102121670 2204243340