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22144310320 = 24511223112843
BaseRepresentation
bin10100100111111001…
…110101110000110000
32010011021102112000111
4110213321311300300
5330322420412240
614101205231104
71412520350326
oct244771656060
963137375014
1022144310320
119433982110
124360102494
13211ba0b202
141100dc7d16
158991371ea
hex527e75c30

22144310320 has 80 divisors (see below), whose sum is σ = 56418388992. Its totient is φ = 8016295680.

The previous prime is 22144310317. The next prime is 22144310327. The reversal of 22144310320 is 2301344122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22144310291 and 22144310300.

It is not an unprimeable number, because it can be changed into a prime (22144310327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139819 + ... + 252661.

Almost surely, 222144310320 is an apocalyptic number.

22144310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28209194496).

22144310320 is an abundant number, since it is smaller than the sum of its proper divisors (34274078672).

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

22144310320 is a wasteful number, since it uses less digits than its factorization.

22144310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113090 (or 113084 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22144310320 its reverse (2301344122), we get a palindrome (24445654442).

The spelling of 22144310320 in words is "twenty-two billion, one hundred forty-four million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 223 440 446 880 892 1115 1784 2230 2453 3568 4460 4906 8920 9812 12265 17840 19624 24530 39248 49060 98120 112843 196240 225686 451372 564215 902744 1128430 1241273 1805488 2256860 2482546 4513720 4965092 6206365 9027440 9930184 12412730 19860368 24825460 25163989 49650920 50327978 99301840 100655956 125819945 201311912 251639890 276803879 402623824 503279780 553607758 1006559560 1107215516 1384019395 2013119120 2214431032 2768038790 4428862064 5536077580 11072155160 22144310320