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222220240 = 24511673769
BaseRepresentation
bin11010011111011…
…00111111010000
3120111010221212021
431033230333100
5423342021430
634014541224
75335561264
oct1517547720
9514127767
10222220240
1110448a3a0
1262507814
1337067188
14217280a4
151479807a
hexd3ecfd0

222220240 has 80 divisors (see below), whose sum is σ = 572195520. Its totient is φ = 79580160.

The previous prime is 222220223. The next prime is 222220241. The reversal of 222220240 is 42022222.

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222220241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57076 + ... + 60844.

It is an arithmetic number, because the mean of its divisors is an integer number (7152444).

Almost surely, 2222220240 is an apocalyptic number.

222220240 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 222220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286097760).

222220240 is an abundant number, since it is smaller than the sum of its proper divisors (349975280).

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

222220240 is a wasteful number, since it uses less digits than its factorization.

222220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 222220240 is about 14907.0533640958. The cubic root of 222220240 is about 605.7050633036.

Adding to 222220240 its reverse (42022222), we get a palindrome (264242462).

The spelling of 222220240 in words is "two hundred twenty-two million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 1072 1340 1474 2680 2948 3685 3769 5360 5896 7370 7538 11792 14740 15076 18845 29480 30152 37690 41459 58960 60304 75380 82918 150760 165836 207295 252523 301520 331672 414590 505046 663344 829180 1010092 1262615 1658360 2020184 2525230 2777753 3316720 4040368 5050460 5555506 10100920 11111012 13888765 20201840 22222024 27777530 44444048 55555060 111110120 222220240