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22311031304220 = 22353724174158053
BaseRepresentation
bin1010001001010101100010…
…00110000111000000011100
32220222220200010120200220220
411010222301012013000130
510411020443003213340
6115241313555241340
74461630104005161
oct504526106070034
986886603520826
1022311031304220
11712206758426a
12260403b2a9250
13c5abc8c11b49
14571c06d4c068
1528a563be6ed0
hex144ab118701c

22311031304220 has 96 divisors (see below), whose sum is σ = 64185850467648. Its totient is φ = 5786411692032.

The previous prime is 22311031304179. The next prime is 22311031304239. The reversal of 22311031304220 is 2240313011322.

It is a super-3 number, since 3×223110313042203 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3286714 + ... + 7444766.

It is an arithmetic number, because the mean of its divisors is an integer number (668602609038).

Almost surely, 222311031304220 is an apocalyptic number.

22311031304220 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 22311031304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32092925233824).

22311031304220 is an abundant number, since it is smaller than the sum of its proper divisors (41874819163428).

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

22311031304220 is a wasteful number, since it uses less digits than its factorization.

22311031304220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160519 (or 4160517 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22311031304220 its reverse (2240313011322), we get a palindrome (24551344315542).

The spelling of 22311031304220 in words is "twenty-two trillion, three hundred eleven billion, thirty-one million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2417 4834 7251 9668 12085 14502 24170 29004 36255 48340 72510 89429 145020 178858 268287 357716 447145 536574 894290 1073148 1341435 1788580 2682870 4158053 5365740 8316106 12474159 16632212 20790265 24948318 41580530 49896636 62370795 83161060 124741590 153847961 249483180 307695922 461543883 615391844 769239805 923087766 1538479610 1846175532 2307719415 3076959220 4615438830 9230877660 10050014101 20100028202 30150042303 40200056404 50250070505 60300084606 100500141010 120600169212 150750211515 201000282020 301500423030 371850521737 603000846060 743701043474 1115551565211 1487402086948 1859252608685 2231103130422 3718505217370 4462206260844 5577757826055 7437010434740 11155515652110 22311031304220