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22211222101220 = 2254127086856221
BaseRepresentation
bin1010000110011011101000…
…00000001101110011100100
32220122101001020221211221202
411003031310000031303210
510402402040324214340
6115123410005502032
74451464534534145
oct503156400156344
986571036854852
1022211222101220
1170937a9915839
1225a8825411918
13c51680ab6849
1456b059395acc
15287b715e9c15
hex14337400dce4

22211222101220 has 24 divisors (see below), whose sum is σ = 47781214375608. Its totient is φ = 8667793990400.

The previous prime is 22211222101177. The next prime is 22211222101309. The reversal of 22211222101220 is 2210122211222.

It can be written as a sum of positive squares in 4 ways, for example, as 2576326748836 + 19634895352384 = 1605094^2 + 4431128^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22211222101192 and 22211222101201.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13543427291 + ... + 13543428930.

It is an arithmetic number, because the mean of its divisors is an integer number (1990883932317).

Almost surely, 222211222101220 is an apocalyptic number.

22211222101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211222101220 is an abundant number, since it is smaller than the sum of its proper divisors (25569992274388).

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

22211222101220 is a wasteful number, since it uses less digits than its factorization.

22211222101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27086856271 (or 27086856269 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22211222101220 its reverse (2210122211222), we get a palindrome (24421344312442).

The spelling of 22211222101220 in words is "twenty-two trillion, two hundred eleven billion, two hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 27086856221 54173712442 108347424884 135434281105 270868562210 541737124420 1110561105061 2221122210122 4442244420244 5552805525305 11105611050610 22211222101220