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22406440440 = 2335953195929
BaseRepresentation
bin10100110111100001…
…110010010111111000
32010211112200002221110
4110313201302113320
5331342022043230
614143211440320
71422152413146
oct246741622770
963745602843
1022406440440
11955894037a
124413a560a0
132161109ba7
141127b40596
158b21654b0
hex5378725f8

22406440440 has 64 divisors (see below), whose sum is σ = 67290199200. Its totient is φ = 5968750592.

The previous prime is 22406440439. The next prime is 22406440513. The reversal of 22406440440 is 4404460422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22406440398 and 22406440407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16396 + ... + 212324.

Almost surely, 222406440440 is an apocalyptic number.

22406440440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22406440440 is an abundant number, since it is smaller than the sum of its proper divisors (44883758760).

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

22406440440 is a wasteful number, since it uses less digits than its factorization.

22406440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196896 (or 196892 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The spelling of 22406440440 in words is "twenty-two billion, four hundred six million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 953 1906 2859 3812 4765 5718 7624 9530 11436 14295 19060 22872 28590 38120 57180 114360 195929 391858 587787 783716 979645 1175574 1567432 1959290 2351148 2938935 3918580 4702296 5877870 7837160 11755740 23511480 186720337 373440674 560161011 746881348 933601685 1120322022 1493762696 1867203370 2240644044 2800805055 3734406740 4481288088 5601610110 7468813480 11203220220 22406440440