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22011331320 = 23325115558417
BaseRepresentation
bin10100011111111110…
…100100001011111000
32002211000012111010100
4110133332210023320
5330034400100240
614040055115400
71406314141416
oct243776441370
962730174110
1022011331320
119375906010
124323672b60
1320ca2bb804
1410cb4902b6
1588c61ae30
hex51ffa42f8

22011331320 has 96 divisors (see below), whose sum is σ = 78040188720. Its totient is φ = 5336079360.

The previous prime is 22011331301. The next prime is 22011331327. The reversal of 22011331320 is 2313311022.

22011331320 is a `hidden beast` number, since 2 + 2 + 0 + 11 + 331 + 320 = 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 = 22011331293 and 22011331302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011331327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2775249 + ... + 2783168.

Almost surely, 222011331320 is an apocalyptic number.

22011331320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011331320 is an abundant number, since it is smaller than the sum of its proper divisors (56028857400).

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

22011331320 is a wasteful number, since it uses less digits than its factorization.

22011331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558445 (or 5558438 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22011331320 its reverse (2313311022), we get a palindrome (24324642342).

The spelling of 22011331320 in words is "twenty-two billion, eleven million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5558417 11116834 16675251 22233668 27792085 33350502 44467336 50025753 55584170 61142587 66701004 83376255 100051506 111168340 122285174 133402008 166752510 183427761 200103012 222336680 244570348 250128765 305712935 333505020 366855522 400206024 489140696 500257530 550283283 611425870 667010040 733711044 917138805 1000515060 1100566566 1222851740 1467422088 1834277610 2001030120 2201133132 2445703480 2751416415 3668555220 4402266264 5502832830 7337110440 11005665660 22011331320