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22321000221 = 3131733666667
BaseRepresentation
bin10100110010011011…
…110110111100011101
32010121120220021222220
4110302123312330131
5331203134001341
614130520255553
71420064241252
oct246233667435
963546807886
1022321000221
119514693923
1243ab3115b9
1321494c3550
14111a65d429
158a98d9a66
hex5326f6f1d

22321000221 has 16 divisors (see below), whose sum is σ = 33936001344. Its totient is φ = 12927999744.

The previous prime is 22321000193. The next prime is 22321000231. The reversal of 22321000221 is 12200012322.

It is a happy number.

It is not a de Polignac number, because 22321000221 - 215 = 22320967453 is a prime.

It is a super-3 number, since 3×223210002213 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22321000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22321000231) 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, 16832671 + ... + 16833996.

It is an arithmetic number, because the mean of its divisors is an integer number (2121000084).

Almost surely, 222321000221 is an apocalyptic number.

It is an amenable number.

22321000221 is a deficient number, since it is larger than the sum of its proper divisors (11615001123).

22321000221 is a wasteful number, since it uses less digits than its factorization.

22321000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666700.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22321000221 its reverse (12200012322), we get a palindrome (34521012543).

It can be divided in two parts, 22321000 and 221, that added together give a triangular number (22321221 = T6681).

The spelling of 22321000221 in words is "twenty-two billion, three hundred twenty-one million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 13 17 39 51 221 663 33666667 101000001 437666671 572333339 1313000013 1717000017 7440333407 22321000221