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222220012120 = 23597136741897
BaseRepresentation
bin1100111011110101011…
…0000100101001011000
3210020120220011020212021
43032331112010221120
512120101310341440
6250030402024224
722024550636311
oct3167526045130
9706526136767
10222220012120
1186274449187
1237099048074
1317c55914242
14aa81173608
155ba906184a
hex33bd584a58

222220012120 has 64 divisors (see below), whose sum is σ = 505531212480. Its totient is φ = 87905181696.

The previous prime is 222220012103. The next prime is 222220012121. The reversal of 222220012120 is 21210022222.

222220012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2222200121202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222220012094 and 222220012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222220012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5283012 + ... + 5324908.

It is an arithmetic number, because the mean of its divisors is an integer number (7898925195).

Almost surely, 2222220012120 is an apocalyptic number.

222220012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222220012120 is an abundant number, since it is smaller than the sum of its proper divisors (283311200360).

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

222220012120 is a wasteful number, since it uses less digits than its factorization.

222220012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43372 (or 43368 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222220012120 its reverse (21210022222), we get a palindrome (243430034342).

The spelling of 222220012120 in words is "two hundred twenty-two billion, two hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1367 1940 2734 3880 5468 6835 10936 13670 27340 41897 54680 83794 132599 167588 209485 265198 335176 418970 530396 662995 837940 1060792 1325990 1675880 2651980 4064009 5303960 8128018 16256036 20320045 32512072 40640090 57273199 81280180 114546398 162560360 229092796 286365995 458185592 572731990 1145463980 2290927960 5555500303 11111000606 22222001212 27777501515 44444002424 55555003030 111110006060 222220012120