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222330233221344 = 25331940813331843
BaseRepresentation
bin110010100011010101001010…
…100100101111000011100000
31002011012120012020000012212000
4302203111022210233003200
5213120124304201040334
62104505033224404000
764554554304036453
oct6243251244570340
91064176166005760
10222330233221344
11649287a4575106
1220b29109316600
139709860417261
143cc8baac6b49a
151aa84bd908299
hexca354a92f0e0

222330233221344 has 192 divisors, whose sum is σ = 682611603206400. Its totient is φ = 70207615489536.

The previous prime is 222330233221339. The next prime is 222330233221381. The reversal of 222330233221344 is 443122332033222.

222330233221344 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 302 + 3 + 3 + 2 + 2 + 1 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 222330233221299 and 222330233221308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669820287 + ... + 670152129.

It is an arithmetic number, because the mean of its divisors is an integer number (3555268766700).

Almost surely, 2222330233221344 is an apocalyptic number.

222330233221344 is a gapful number since it is divisible by the number (24) 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 222330233221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341305801603200).

222330233221344 is an abundant number, since it is smaller than the sum of its proper divisors (460281369985056).

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

222330233221344 is a wasteful number, since it uses less digits than its factorization.

222330233221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372694 (or 372680 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 222330233221344 its reverse (443122332033222), we get a palindrome (665452565254566).

The spelling of 222330233221344 in words is "two hundred twenty-two trillion, three hundred thirty billion, two hundred thirty-three million, two hundred twenty-one thousand, three hundred forty-four".