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221682142227 = 371326914592069
BaseRepresentation
bin1100111001110101001…
…0010000110000010011
3210012012102001122002010
43032131102100300103
512113001112022402
6245501145354003
722005330055440
oct3163522206023
9705172048063
10221682142227
1186018876607
1236b68a98903
1317b9b360030
14aa2d9609c7
155b76c17a6c
hex339d490c13

221682142227 has 64 divisors (see below), whose sum is σ = 365565312000. Its totient is φ = 116360437248.

The previous prime is 221682142223. The next prime is 221682142247. The reversal of 221682142227 is 722241286122.

It is not a de Polignac number, because 221682142227 - 22 = 221682142223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (221682142223) 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 63 ways as a sum of consecutive naturals, for example, 107143549 + ... + 107145617.

It is an arithmetic number, because the mean of its divisors is an integer number (5711958000).

Almost surely, 2221682142227 is an apocalyptic number.

221682142227 is a deficient number, since it is larger than the sum of its proper divisors (143883169773).

221682142227 is a wasteful number, since it uses less digits than its factorization.

221682142227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820.

The product of its digits is 86016, while the sum is 39.

The spelling of 221682142227 in words is "two hundred twenty-one billion, six hundred eighty-two million, one hundred forty-two thousand, two hundred twenty-seven".

Divisors: 1 3 7 13 21 39 91 269 273 807 1459 1883 2069 3497 4377 5649 6207 10213 10491 14483 18967 24479 26897 30639 43449 56901 73437 80691 132769 188279 392471 398307 556561 564837 1177413 1669683 2747297 3018671 3895927 5102123 7235293 8241891 9056013 11687781 15306369 21130697 21705879 35714861 39242723 50647051 63392091 107144583 117728169 151941153 274699061 812022499 824097183 2436067497 5684157493 10556292487 17052472479 31668877461 73894047409 221682142227