Search a number
-
+
222144120 = 233451123271
BaseRepresentation
bin11010011110110…
…10011001111000
3120111000002110000
431033122121320
5423332102440
634013153000
75335123332
oct1517323170
9514002400
10222144120
11104438190
126248b760
133703b633
1421708452
1514780730
hexd3da678

222144120 has 320 divisors, whose sum is σ = 853079040. Its totient is φ = 51321600.

The previous prime is 222144079. The next prime is 222144121. The reversal of 222144120 is 21441222.

222144120 is a `hidden beast` number, since 2 + 221 + 441 + 2 + 0 = 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 = 222144093 and 222144102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222144121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 819585 + ... + 819855.

It is an arithmetic number, because the mean of its divisors is an integer number (2665872).

Almost surely, 2222144120 is an apocalyptic number.

222144120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 14904×14905.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426539520).

222144120 is an abundant number, since it is smaller than the sum of its proper divisors (630934920).

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

222144120 is a wasteful number, since it uses less digits than its factorization.

222144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 222144120 is about 14904.4999916133. The cubic root of 222144120 is about 605.6358953843.

Adding to 222144120 its reverse (21441222), we get a palindrome (243585342).

It can be divided in two parts, 2 and 22144120, that added together give a palindrome (22144122).

The spelling of 222144120 in words is "two hundred twenty-two million, one hundred forty-four thousand, one hundred twenty".