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223122240 = 26325117043
BaseRepresentation
bin11010100110010…
…01001101000000
3120112211210011200
431103021031000
5424104402430
634050141200
75346336105
oct1523111500
9515753150
10223122240
11104a46050
1262881800
13372c18c3
14218c0aac
15148c5460
hexd4c9340

223122240 has 168 divisors, whose sum is σ = 837334368. Its totient is φ = 54082560.

The previous prime is 223122223. The next prime is 223122253. The reversal of 223122240 is 42221322.

It is a super-3 number, since 3×2231222403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28159 + ... + 35201.

Almost surely, 2223122240 is an apocalyptic number.

223122240 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 223122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418667184).

223122240 is an abundant number, since it is smaller than the sum of its proper divisors (614212128).

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

223122240 is a wasteful number, since it uses less digits than its factorization.

223122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7064 counting only the distinct ones).

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

The square root of 223122240 is about 14937.2768602580. The cubic root of 223122240 is about 606.5234832292.

Adding to 223122240 its reverse (42221322), we get a palindrome (265343562).

The spelling of 223122240 in words is "two hundred twenty-three million, one hundred twenty-two thousand, two hundred forty".