Search a number
-
+
221222242222122 = 234110127132855117
BaseRepresentation
bin110010010011001101010001…
…001010100000000000101010
31002000021122021102110121222010
4302103031101022200000222
5212444001123002101442
62102300032312140350
764411531250660211
oct6223152112400052
91060248242417863
10221222242222122
116454090a534129
122098a4293976b6
139659224c2a99b
143c8b2dc3a0078
151a89771638b9c
hexc933512a002a

221222242222122 has 64 divisors (see below), whose sum is σ = 459412326471168. Its totient is φ = 70967050560000.

The previous prime is 221222242222103. The next prime is 221222242222187.

221222242222122 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 221222242222122.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9694293 + ... + 23160824.

It is an arithmetic number, because the mean of its divisors is an integer number (7178317601112).

Almost surely, 2221222242222122 is an apocalyptic number.

221222242222122 is an abundant number, since it is smaller than the sum of its proper divisors (238190084249046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221222242222122 is a wasteful number, since it uses less digits than its factorization.

221222242222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32855535.

The product of its digits is 16384, while the sum is 30.

The spelling of 221222242222122 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, two hundred forty-two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 41 82 101 123 202 246 271 303 542 606 813 1626 4141 8282 11111 12423 22222 24846 27371 33333 54742 66666 82113 164226 1122211 2244422 3366633 6733266 32855117 65710234 98565351 197130702 1347059797 2694119594 3318366817 4041179391 6636733634 8082358782 8903736707 9955100451 17807473414 19910200902 26711210121 53422420242 136053039497 272106078994 365053204987 408159118491 730106409974 816318236982 899277407407 1095159614961 1798554814814 2190319229922 2697832222221 5395664444442 36870373703687 73740747407374 110611121111061 221222242222122