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222421143132 = 22332343279613
BaseRepresentation
bin1100111100100101010…
…1010100111001011100
3210021002220121202202000
43033021111110321130
512121004303040012
6250102345002300
722032542344146
oct3171125247134
9707086552660
10222421143132
1186367a33961
1237134483390
1317c884a6286
14aa9db6bc96
155bbba40ddc
hex33c9554e5c

222421143132 has 288 divisors, whose sum is σ = 624853555200. Its totient is φ = 68279283072.

The previous prime is 222421143071. The next prime is 222421143149. The reversal of 222421143132 is 231341124222.

222421143132 is a `hidden beast` number, since 2 + 224 + 2 + 1 + 1 + 431 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222421143096 and 222421143105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362840058 + ... + 362840670.

It is an arithmetic number, because the mean of its divisors is an integer number (2169630400).

Almost surely, 2222421143132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222421143132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312426777600).

222421143132 is an abundant number, since it is smaller than the sum of its proper divisors (402432412068).

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

222421143132 is a wasteful number, since it uses less digits than its factorization.

222421143132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 763 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 222421143132 its reverse (231341124222), we get a palindrome (453762267354).

The spelling of 222421143132 in words is "two hundred twenty-two billion, four hundred twenty-one million, one hundred forty-three thousand, one hundred thirty-two".