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222211111220020 = 225132321615610813
BaseRepresentation
bin110010100001100110001110…
…010110010111001100110100
31002010210011201101221120010001
4302201212032112113030310
5213111201323433020040
62104334213014441044
764543136325530116
oct6241461626271464
91063704641846101
10222211111220020
116489222628542a
1220b0a003663184
1396cb5580c2240
143cc310a3953b6
151aa534aa8559a
hexca198e597334

222211111220020 has 72 divisors (see below), whose sum is σ = 525338474723496. Its totient is φ = 78479910803712.

The previous prime is 222211111220017. The next prime is 222211111220023. The reversal of 222211111220020 is 20022111112222.

It is an interprime number because it is at equal distance from previous prime (222211111220017) and next prime (222211111220023).

It can be written as a sum of positive squares in 4 ways, for example, as 144964470564 + 222066146749456 = 380742^2 + 14901884^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 222211111220020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222211111220023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807667867 + ... + 807942946.

It is an arithmetic number, because the mean of its divisors is an integer number (7296367704493).

Almost surely, 2222211111220020 is an apocalyptic number.

222211111220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222211111220020 is an abundant number, since it is smaller than the sum of its proper divisors (303127363503476).

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

222211111220020 is a wasteful number, since it uses less digits than its factorization.

222211111220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615610881 (or 1615610856 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 222211111220020 its reverse (20022111112222), we get a palindrome (242233222332242).

The spelling of 222211111220020 in words is "two hundred twenty-two trillion, two hundred eleven billion, one hundred eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 529 598 1058 1196 1495 2116 2645 2990 5290 5980 6877 10580 13754 27508 34385 68770 137540 1615610813 3231221626 6462443252 8078054065 16156108130 21002940569 32312216260 37159048699 42005881138 74318097398 84011762276 105014702845 148636194796 185795243495 210029405690 371590486990 420058811380 483067633087 743180973980 854658120077 966135266174 1709316240154 1932270532348 2415338165435 3418632480308 4273290600385 4830676330870 8546581200770 9661352661740 11110555561001 17093162401540 22221111122002 44442222244004 55552777805005 111105555610010 222211111220020