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22230110320 = 24511211320323
BaseRepresentation
bin10100101101000001…
…001001000001110000
32010101020212121111021
4110231001021001300
5331011402012240
614113512225224
71414611551155
oct245501110160
963336777437
1022230110320
119478354a00
12438499b214
13213371c542
14110c56022c
158a193454a
hex52d049070

22230110320 has 120 divisors (see below), whose sum is σ = 57316362768. Its totient is φ = 8011745280.

The previous prime is 22230110281. The next prime is 22230110321. The reversal of 22230110320 is 2301103222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22230110294 and 22230110303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230110321) 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, 1083679 + ... + 1104001.

Almost surely, 222230110320 is an apocalyptic number.

22230110320 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 22230110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28658181384).

22230110320 is an abundant number, since it is smaller than the sum of its proper divisors (35086252448).

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

22230110320 is a wasteful number, since it uses less digits than its factorization.

22230110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20471 (or 20454 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22230110320 its reverse (2301103222), we get a palindrome (24531213542).

It can be divided in two parts, 2 and 2230110320, that added together give a palindrome (2230110322).

The spelling of 22230110320 in words is "twenty-two billion, two hundred thirty million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 121 176 220 226 242 440 452 484 565 605 880 904 968 1130 1210 1243 1808 1936 2260 2420 2486 4520 4840 4972 6215 9040 9680 9944 12430 13673 19888 20323 24860 27346 40646 49720 54692 68365 81292 99440 101615 109384 136730 162584 203230 218768 223553 273460 325168 406460 447106 546920 812920 894212 1093840 1117765 1625840 1788424 2235530 2296499 2459083 3576848 4471060 4592998 4918166 8942120 9185996 9836332 11482495 12295415 17884240 18371992 19672664 22964990 24590830 25261489 36743984 39345328 45929980 49181660 50522978 91859960 98363320 101045956 126307445 183719920 196726640 202091912 252614890 277876379 404183824 505229780 555752758 1010459560 1111505516 1389381895 2020919120 2223011032 2778763790 4446022064 5557527580 11115055160 22230110320