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21222202221 = 32112371932729
BaseRepresentation
bin10011110000111100…
…010001101101101101
32000210000022120111200
4103300330101231231
5321430340432341
613425505240113
71350622512453
oct236074215555
960700276450
1021222202221
11900041a700
124143333039
132002973a0c
1410547549d3
158431dedb6
hex4f0f11b6d

21222202221 has 72 divisors (see below), whose sum is σ = 34797093240. Its totient is φ = 12444917760.

The previous prime is 21222202207. The next prime is 21222202223. The reversal of 21222202221 is 12220222212.

21222202221 is a `hidden beast` number, since 21 + 222 + 202 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10532916900 + 10689285321 = 102630^2 + 103389^2 .

It is not a de Polignac number, because 21222202221 - 213 = 21222194029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21222202194 and 21222202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222202223) 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 71 ways as a sum of consecutive naturals, for example, 7775185 + ... + 7777913.

Almost surely, 221222202221 is an apocalyptic number.

It is an amenable number.

21222202221 is a deficient number, since it is larger than the sum of its proper divisors (13574891019).

21222202221 is a wasteful number, since it uses less digits than its factorization.

21222202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21222202221 its reverse (12220222212), we get a palindrome (33442424433).

The spelling of 21222202221 in words is "twenty-one billion, two hundred twenty-two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 121 193 333 363 407 579 1089 1221 1737 2123 2729 3663 4477 6369 7141 8187 13431 19107 21423 23353 24561 30019 40293 64269 70059 78551 90057 100973 210177 235653 270171 302919 330209 526697 706959 864061 908757 990627 1110703 1580091 2592183 2971881 3332109 4740273 5793667 7776549 9996327 12217733 17381001 19487789 36653199 52143003 58463367 63730337 109959597 175390101 191191011 214365679 573573033 643097037 1929291111 2358022469 7074067407 21222202221