Search a number
-
+
22014201531 = 3722389149491
BaseRepresentation
bin10100100000001001…
…100000111010111011
32002211012121022022110
4110200021200322323
5330041113422111
614040240423403
71406350424400
oct244011407273
962735538273
1022014201531
119377496493
124324617b63
1320caa8506a
1410cb9da2a7
1588c9d65a6
hex520260ebb

22014201531 has 96 divisors (see below), whose sum is σ = 36345024000. Its totient is φ = 11793492480.

The previous prime is 22014201449. The next prime is 22014201551. The reversal of 22014201531 is 13510241022.

It is not a de Polignac number, because 22014201531 - 217 = 22014070459 is a prime.

It is a super-2 number, since 2×220142015312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22014201498 and 22014201507.

It is not an unprimeable number, because it can be changed into a prime (22014201551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44835196 + ... + 44835686.

It is an arithmetic number, because the mean of its divisors is an integer number (378594000).

Almost surely, 222014201531 is an apocalyptic number.

22014201531 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22014201531 is a deficient number, since it is larger than the sum of its proper divisors (14330822469).

22014201531 is a wasteful number, since it uses less digits than its factorization.

22014201531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 22014201531 its reverse (13510241022), we get a palindrome (35524442553).

The spelling of 22014201531 in words is "twenty-two billion, fourteen million, two hundred one thousand, five hundred thirty-one".

Divisors: 1 3 7 21 23 49 69 89 147 149 161 267 447 483 491 623 1043 1127 1473 1869 2047 3129 3381 3427 3437 4361 6141 7301 10281 10311 11293 13083 13261 14329 21903 23989 24059 33879 39783 42987 43699 71967 72177 73159 79051 92827 100303 131097 167923 219477 237153 278481 300909 305003 305893 503769 512113 553357 649789 915009 917679 1005077 1536339 1660071 1682657 1949367 2135021 2141251 3015231 3584791 5047971 6405063 6423753 6511151 7035539 10754373 11778599 14945147 19533453 21106617 35335797 44835441 45578057 49248773 82450193 136734171 147746319 149756473 247350579 319046399 449269419 957139197 1048295311 3144885933 7338067177 22014201531