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22166224717 = 7213231791093
BaseRepresentation
bin10100101001001101…
…011011111101001101
32010012210122212220211
4110221031123331031
5330344023142332
614103311042421
71413204541600
oct245115337515
963183585824
1022166224717
11944528a78a
124367510411
132123411b00
141103c90337
1589b015447
hex52935bf4d

22166224717 has 72 divisors (see below), whose sum is σ = 29213475840. Its totient is φ = 16742194560.

The previous prime is 22166224693. The next prime is 22166224721. The reversal of 22166224717 is 71742266122.

It is not a de Polignac number, because 22166224717 - 223 = 22157836109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22166224717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22166224117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20279623 + ... + 20280715.

It is an arithmetic number, because the mean of its divisors is an integer number (405742720).

Almost surely, 222166224717 is an apocalyptic number.

It is an amenable number.

22166224717 is a deficient number, since it is larger than the sum of its proper divisors (7047251123).

22166224717 is a wasteful number, since it uses less digits than its factorization.

22166224717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1223 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The spelling of 22166224717 in words is "twenty-two billion, one hundred sixty-six million, two hundred twenty-four thousand, seven hundred seventeen".

Divisors: 1 7 13 31 49 79 91 169 217 403 553 637 1027 1093 1183 1519 2449 2821 3871 5239 7189 7651 8281 13351 14209 17143 19747 31837 33883 36673 50323 53557 86347 93457 99463 120001 184717 222859 237181 256711 413881 440479 604429 654199 696241 1122511 1293019 1560013 1660267 2676757 2897167 3083353 4231003 5726227 7857577 9051133 14592643 18737299 20280169 21583471 34797841 40083589 55003039 102148501 131161093 243584887 280585123 452371933 715039507 1705094209 3166603531 22166224717