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222225520 = 245111913291
BaseRepresentation
bin11010011111011…
…10010001110000
3120111011020002211
431033232101300
5423342204040
634015021504
75335612546
oct1517562160
9514136084
10222225520
11104493360
126250a894
13370696ba
1421729d96
15147998ea
hexd3ee470

222225520 has 80 divisors (see below), whose sum is σ = 593354880. Its totient is φ = 76550400.

The previous prime is 222225491. The next prime is 222225529. The reversal of 222225520 is 25522222.

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 = 222225491 and 222225500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222225529) 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, 10075 + ... + 23365.

It is an arithmetic number, because the mean of its divisors is an integer number (7416936).

Almost surely, 2222225520 is an apocalyptic number.

222225520 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 222225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296677440).

222225520 is an abundant number, since it is smaller than the sum of its proper divisors (371129360).

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

222225520 is a wasteful number, since it uses less digits than its factorization.

222225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334 (or 13328 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 222225520 is about 14907.2304604175. The cubic root of 222225520 is about 605.7098604925.

Adding to 222225520 its reverse (25522222), we get a palindrome (247747742).

The spelling of 222225520 in words is "two hundred twenty-two million, two hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 13291 16720 26582 53164 66455 106328 132910 146201 212656 252529 265820 292402 505058 531640 584804 731005 1010116 1063280 1169608 1262645 1462010 2020232 2339216 2525290 2777819 2924020 4040464 5050580 5555638 5848040 10101160 11111276 11696080 13889095 20202320 22222552 27778190 44445104 55556380 111112760 222225520