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22242441321 = 347322272
BaseRepresentation
bin10100101101110000…
…001011100001101001
32010102010002002110000
4110231300023201221
5331023031110241
614115032413213
71415121426462
oct245560134151
963363062400
1022242441321
119484307411
124388b47209
1321361490a9
14111004dd69
158a2a6ceb6
hex52dc0b869

22242441321 has 45 divisors (see below), whose sum is σ = 33836811591. Its totient is φ = 14560738848.

The previous prime is 22242441307. The next prime is 22242441359. The reversal of 22242441321 is 12314424222.

It is a happy number.

The square root of 22242441321 is 149139.

It is a perfect power (a square), and thus also a powerful number.

22242441321 is a `hidden beast` number, since 2 + 2 + 242 + 4 + 413 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12625893225 + 9616548096 = 112365^2 + 98064^2 .

It is not a de Polignac number, because 22242441321 - 29 = 22242440809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22242445321) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97984210 + ... + 97984436.

Almost surely, 222242441321 is an apocalyptic number.

22242441321 is the 149139-th square number.

22242441321 is the 74570-th centered octagonal number.

It is an amenable number.

22242441321 is a deficient number, since it is larger than the sum of its proper divisors (11594370270).

22242441321 is an frugal number, since it uses more digits than its factorization.

22242441321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 303 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 22242441321 its reverse (12314424222), we get a palindrome (34556865543).

The spelling of 22242441321 in words is "twenty-two billion, two hundred forty-two million, four hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 73 81 219 227 657 681 1971 2043 5329 5913 6129 15987 16571 18387 47961 49713 51529 143883 149139 154587 431649 447417 463761 1209683 1342251 1391283 3629049 3761617 4173849 10887147 11284851 32661441 33854553 97984323 101563659 274598041 304690977 823794123 2471382369 7414147107 22242441321