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222013434212340 = 223537919108820513
BaseRepresentation
bin110010011110101110000111…
…111000011010111111110100
31002010002021110221210010000020
4302132232013320122333310
5213044432003124243330
62104103321430245140
764522640602635351
oct6236560770327764
91063067427703006
10222013434212340
11648164068097a1
1220a97835ab67b0
1396b5a14138644
143cb7716a09628
151aa012b525210
hexc9eb87e1aff4

222013434212340 has 96 divisors (see below), whose sum is σ = 639133348465920. Its totient is φ = 57540804489216.

The previous prime is 222013434212329. The next prime is 222013434212347. The reversal of 222013434212340 is 43212434310222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222013434212347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52370077 + ... + 56450436.

It is an arithmetic number, because the mean of its divisors is an integer number (6657639046520).

Almost surely, 2222013434212340 is an apocalyptic number.

222013434212340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222013434212340 is an abundant number, since it is smaller than the sum of its proper divisors (417119914253580).

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

222013434212340 is a wasteful number, since it uses less digits than its factorization.

222013434212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108821481 (or 108821479 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 222013434212340 its reverse (43212434310222), we get a palindrome (265225868522562).

The spelling of 222013434212340 in words is "two hundred twenty-two trillion, thirteen billion, four hundred thirty-four million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 919 1110 1838 2220 2757 3676 4595 5514 9190 11028 13785 18380 27570 34003 55140 68006 102009 136012 170015 204018 340030 408036 510045 680060 1020090 2040180 108820513 217641026 326461539 435282052 544102565 652923078 1088205130 1305846156 1632307695 2176410260 3264615390 4026358981 6529230780 8052717962 12079076943 16105435924 20131794905 24158153886 40263589810 48316307772 60395384715 80527179620 100006051447 120790769430 200012102894 241581538860 300018154341 400024205788 500030257235 600036308682 1000060514470 1200072617364 1500090771705 2000121028940 3000181543410 3700223903539 6000363086820 7400447807078 11100671710617 14800895614156 18501119517695 22201343421234 37002239035390 44402686842468 55503358553085 74004478070780 111006717106170 222013434212340