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22021202221020 = 22335226917972677
BaseRepresentation
bin1010000000111001101011…
…11011111001011111011100
32212222012120110000210002000
411000130311323321133130
510341243410232033040
6114500222312202300
74431656630312262
oct500346573713734
985865513023060
1022021202221020
117020159620332
122577a34099390
13c3978a314102
14561b90940432
15282c4e408130
hex140735ef97dc

22021202221020 has 96 divisors (see below), whose sum is σ = 68540604820800. Its totient is φ = 5869732200192.

The previous prime is 22021202221019. The next prime is 22021202221063. The reversal of 22021202221020 is 2012220212022.

22021202221020 is a `hidden beast` number, since 220 + 2 + 1 + 202 + 221 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22021202220984 and 22021202221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7761079 + ... + 10211598.

It is an arithmetic number, because the mean of its divisors is an integer number (713964633550).

Almost surely, 222021202221020 is an apocalyptic number.

22021202221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021202221020 is an abundant number, since it is smaller than the sum of its proper divisors (46519402599780).

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

22021202221020 is a wasteful number, since it uses less digits than its factorization.

22021202221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17974964 (or 17974956 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22021202221020 its reverse (2012220212022), we get a palindrome (24033422433042).

The spelling of 22021202221020 in words is "twenty-two trillion, twenty-one billion, two hundred two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2269 4538 6807 9076 11345 13614 20421 22690 27228 34035 40842 45380 61263 68070 81684 102105 122526 136140 204210 245052 306315 408420 612630 1225260 17972677 35945354 53918031 71890708 89863385 107836062 161754093 179726770 215672124 269590155 323508186 359453540 485262279 539180310 647016372 808770465 970524558 1078360620 1617540930 1941049116 2426311395 3235081860 4852622790 9705245580 40780004113 81560008226 122340012339 163120016452 203900020565 244680024678 367020037017 407800041130 489360049356 611700061695 734040074034 815600082260 1101060111051 1223400123390 1468080148068 1835100185085 2202120222102 2446800246780 3670200370170 4404240444204 5505300555255 7340400740340 11010601110510 22021202221020