Search a number
-
+
222124320 = 253251137379
BaseRepresentation
bin11010011110101…
…01100100100000
3120110222002021200
431033111210200
5423330434240
634012521200
75335011525
oct1517254440
9513862250
10222124320
11104424320
1262480200
1337032612
142170114c
1514779930
hexd3d5920

222124320 has 288 divisors, whose sum is σ = 851497920. Its totient is φ = 52254720.

The previous prime is 222124291. The next prime is 222124333. The reversal of 222124320 is 23421222.

222124320 is a `hidden beast` number, since 22 + 212 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 222124293 and 222124302.

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 47 ways as a sum of consecutive naturals, for example, 585891 + ... + 586269.

It is an arithmetic number, because the mean of its divisors is an integer number (2956590).

Almost surely, 2222124320 is an apocalyptic number.

222124320 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 222124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425748960).

222124320 is an abundant number, since it is smaller than the sum of its proper divisors (629373600).

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

222124320 is a wasteful number, since it uses less digits than its factorization.

222124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

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

The square root of 222124320 is about 14903.8357478872. The cubic root of 222124320 is about 605.6179011395.

Adding to 222124320 its reverse (23421222), we get a palindrome (245545542).

The spelling of 222124320 in words is "two hundred twenty-two million, one hundred twenty-four thousand, three hundred twenty".