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22020482449 = 72172292432
BaseRepresentation
bin10100100000100001…
…011110010110010001
32002211122102102010001
4110200201132112101
5330044220414244
614041023210001
71406455004200
oct244041362621
962748372101
1022020482449
11937aa96429
124326746901
1320cc173b94
1410cc793237
1588d3275d4
hex52085e591

22020482449 has 81 divisors (see below), whose sum is σ = 28852403697. Its totient is φ = 16752976128.

The previous prime is 22020482437. The next prime is 22020482467. The reversal of 22020482449 is 94428402022.

The square root of 22020482449 is 148393.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2176689025 + 19843793424 = 46655^2 + 140868^2 .

It is not a de Polignac number, because 22020482449 - 221 = 22018385297 is a prime.

It is a super-3 number, since 3×220204824493 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22020482249) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 512104222 + ... + 512104264.

Almost surely, 222020482449 is an apocalyptic number.

22020482449 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

22020482449 is the 148393-rd square number.

22020482449 is the 74197-th centered octagonal number.

It is an amenable number.

22020482449 is a deficient number, since it is larger than the sum of its proper divisors (6831921248).

22020482449 is an equidigital number, since it uses as much as digits as its factorization.

22020482449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 22020482449 in words is "twenty-two billion, twenty million, four hundred eighty-two thousand, four hundred forty-nine".

Divisors: 1 7 17 29 43 49 119 203 289 301 493 731 833 841 1247 1421 1849 2023 2107 3451 5117 5887 8381 8729 12427 12943 14161 14297 21199 24157 31433 35819 36163 41209 53621 58667 61103 86989 90601 100079 148393 220031 243049 253141 360383 375347 410669 534361 608923 614771 700553 911557 1038751 1540217 1555009 1701343 1771987 2522681 2627429 3740527 4303397 6380899 10451107 10885063 11909401 15496469 17658767 26183689 26435153 30123779 44666293 73157749 76195441 108475283 185046071 449397601 512104243 759326981 1295322497 3145783207 22020482449