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222243120 = 243251122551
BaseRepresentation
bin11010011111100…
…10100100110000
3120111012010020200
431033302210300
5423343234440
634015235200
75336015061
oct1517624460
9514163220
10222243120
111044a5600
1262518b00
1337074708
1421732568
151479ec30
hexd3f2930

222243120 has 180 divisors, whose sum is σ = 820707888. Its totient is φ = 53856000.

The previous prime is 222243107. The next prime is 222243121. The reversal of 222243120 is 21342222.

222243120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 = 222243093 and 222243102.

It is not an unprimeable number, because it can be changed into a prime (222243121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85845 + ... + 88395.

Almost surely, 2222243120 is an apocalyptic number.

222243120 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 222243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410353944).

222243120 is an abundant number, since it is smaller than the sum of its proper divisors (598464768).

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

222243120 is a wasteful number, since it uses less digits than its factorization.

222243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 222243120 is about 14907.8207662958. The cubic root of 222243120 is about 605.7258505734.

Adding to 222243120 its reverse (21342222), we get a palindrome (243585342).

It can be divided in two parts, 222 and 243120, that added together give a palindrome (243342).

The spelling of 222243120 in words is "two hundred twenty-two million, two hundred forty-three thousand, one hundred twenty".