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22320202221 = 328927865421
BaseRepresentation
bin10100110010011000…
…110100000111101101
32010121112101202100100
4110302120310013231
5331202432432341
614130451221313
71420054405602
oct246230640755
963545352310
1022320202221
119514199319
1243aaba7839
1321492a4265
14111a4d26a9
158a97cd3b6
hex5326341ed

22320202221 has 12 divisors (see below), whose sum is σ = 32602543740. Its totient is φ = 14712941760.

The previous prime is 22320202211. The next prime is 22320202231. The reversal of 22320202221 is 12220202322.

22320202221 is a `hidden beast` number, since 223 + 20 + 202 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (22320202211) and next prime (22320202231).

It can be written as a sum of positive squares in 2 ways, for example, as 5649777225 + 16670424996 = 75165^2 + 129114^2 .

It is not a de Polignac number, because 22320202221 - 25 = 22320202189 is a prime.

It is a super-3 number, since 3×223202022213 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22320202194 and 22320202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320202211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13931910 + ... + 13933511.

It is an arithmetic number, because the mean of its divisors is an integer number (2716878645).

Almost surely, 222320202221 is an apocalyptic number.

It is an amenable number.

22320202221 is a deficient number, since it is larger than the sum of its proper divisors (10282341519).

22320202221 is a wasteful number, since it uses less digits than its factorization.

22320202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27865516 (or 27865513 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22320202221 its reverse (12220202322), we get a palindrome (34540404543).

The spelling of 22320202221 in words is "twenty-two billion, three hundred twenty million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 89 267 801 27865421 83596263 250788789 2480022469 7440067407 22320202221