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222342120 = 2332571113617
BaseRepresentation
bin11010100000010…
…10101111101000
3120111101011001100
431100022233220
5423404421440
634021321400
75336606520
oct1520125750
9514334040
10222342120
11104562a20
1262566260
13370aa7b0
142175a680
15147be230
hexd40abe8

222342120 has 384 divisors, whose sum is σ = 971792640. Its totient is φ = 42577920.

The previous prime is 222342097. The next prime is 222342151. The reversal of 222342120 is 21243222.

222342120 is a `hidden beast` number, since 2 + 223 + 421 + 20 = 666.

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 = 222342093 and 222342102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360052 + ... + 360668.

It is an arithmetic number, because the mean of its divisors is an integer number (2530710).

Almost surely, 2222342120 is an apocalyptic number.

222342120 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 222342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485896320).

222342120 is an abundant number, since it is smaller than the sum of its proper divisors (749450520).

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

222342120 is a wasteful number, since it uses less digits than its factorization.

222342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 658 counting only the distinct ones).

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

The square root of 222342120 is about 14911.1408014276. The cubic root of 222342120 is about 605.8157790523.

Adding to 222342120 its reverse (21243222), we get a palindrome (243585342).

The spelling of 222342120 in words is "two hundred twenty-two million, three hundred forty-two thousand, one hundred twenty".