Search a number
-
+
221222221121020 = 22574301936731647
BaseRepresentation
bin110010010011001101001111…
…111010000000010111111100
31002000021122012221202120200211
4302103031033322000113330
5212444001102101333040
62102300030240002204
764411530603424030
oct6223151772002774
91060248187676624
10221222221121020
11645408a96315a9
122098a422300364
139659220750322
143c8b2d966a1c0
151a8976e86b8ea
hexc9334fe805fc

221222221121020 has 48 divisors (see below), whose sum is σ = 530945686978560. Its totient is φ = 75845853486144.

The previous prime is 221222221120997. The next prime is 221222221121023. The reversal of 221222221121020 is 20121122222122.

It is a super-2 number, since 2×2212222211210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221222221120982 and 221222221121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221222221121023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12343164 + ... + 24388483.

It is an arithmetic number, because the mean of its divisors is an integer number (11061368478720).

Almost surely, 2221222221121020 is an apocalyptic number.

221222221121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222221121020 is an abundant number, since it is smaller than the sum of its proper divisors (309723465857540).

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

221222221121020 is a wasteful number, since it uses less digits than its factorization.

221222221121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36774682 (or 36774680 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 221222221121020 its reverse (20121122222122), we get a palindrome (241343343343142).

The spelling of 221222221121020 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 43019 86038 172076 215095 301133 430190 602266 860380 1204532 1505665 3011330 6022660 36731647 73463294 146926588 183658235 257121529 367316470 514243058 734632940 1028486116 1285607645 2571215290 5142430580 1580158722293 3160317444586 6320634889172 7900793611465 11061111056051 15801587222930 22122222112102 31603174445860 44244444224204 55305555280255 110611110560510 221222221121020