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22311302221 = 132973899109
BaseRepresentation
bin10100110001110110…
…110111010001001101
32010120220122120211201
4110301312313101031
5331143143132341
614125532345501
71416615640225
oct246166672115
963526576751
1022311302221
11950a16a64a
1243a8015291
1321474a92a0
141119257085
158a8b21331
hex531db744d

22311302221 has 32 divisors (see below), whose sum is σ = 25482492000. Its totient is φ = 19389984768.

The previous prime is 22311302219. The next prime is 22311302227. The reversal of 22311302221 is 12220311322.

It can be written as a sum of positive squares in 16 ways, for example, as 14320908900 + 7990393321 = 119670^2 + 89389^2 .

It is a cyclic number.

It is not a de Polignac number, because 22311302221 - 21 = 22311302219 is a prime.

It is a super-3 number, since 3×223113022213 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22311302227) 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 31 ways as a sum of consecutive naturals, for example, 2444815 + ... + 2453923.

It is an arithmetic number, because the mean of its divisors is an integer number (796327875).

Almost surely, 222311302221 is an apocalyptic number.

It is an amenable number.

22311302221 is a deficient number, since it is larger than the sum of its proper divisors (3171189779).

22311302221 is a wasteful number, since it uses less digits than its factorization.

22311302221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22311302221 its reverse (12220311322), we get a palindrome (34531613543).

The spelling of 22311302221 in words is "twenty-two billion, three hundred eleven million, three hundred two thousand, two hundred twenty-one".

Divisors: 1 13 29 73 89 377 949 1157 2117 2581 6497 9109 27521 33553 84461 118417 188413 264161 664957 810701 2449369 3434093 8644441 10539113 19283753 23510329 59181173 250688789 305634277 769355249 1716254017 22311302221