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222000231040 = 2757217416417
BaseRepresentation
bin1100111011000000111…
…1101011001010000000
3210020000120121012220021
43032300033223022000
512114124024343130
6245552511223224
722016241554200
oct3166017531200
9706016535807
10222000231040
1186171385425
1237037517b14
1317c1c222373
14aa5dcc2400
155b94aeb37a
hex33b03eb280

222000231040 has 192 divisors, whose sum is σ = 653684648040. Its totient is φ = 71636877312.

The previous prime is 222000231017. The next prime is 222000231071. The reversal of 222000231040 is 40132000222.

It can be written as a sum of positive squares in 4 ways, for example, as 221961592384 + 38638656 = 471128^2 + 6216^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 324912 + ... + 741328.

Almost surely, 2222000231040 is an apocalyptic number.

222000231040 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 222000231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326842324020).

222000231040 is an abundant number, since it is smaller than the sum of its proper divisors (431684417000).

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

222000231040 is a wasteful number, since it uses less digits than its factorization.

222000231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416467 (or 416448 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 222000231040 its reverse (40132000222), we get a palindrome (262132231262).

The spelling of 222000231040 in words is "two hundred twenty-two billion, two hundred thirty-one thousand, forty".