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221224411044 = 22327133110931993
BaseRepresentation
bin1100111000001000000…
…0001001111110100100
3210011000111202110221100
43032002000021332210
512111031422123134
6245343514520100
721661101316260
oct3160200117644
9704014673840
10221224411044
118590345a37a
1236a5b736030
1317b27587390
14a9c8c4d0a0
155b4b94d999
hex3382009fa4

221224411044 has 288 divisors, whose sum is σ = 711462262784. Its totient is φ = 56382842880.

The previous prime is 221224411021. The next prime is 221224411081. The reversal of 221224411044 is 440114422122.

221224411044 is a `hidden beast` number, since 2 + 21 + 224 + 411 + 0 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221224410999 and 221224411017.

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, 110999712 + ... + 111001704.

Almost surely, 2221224411044 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 221224411044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355731131392).

221224411044 is an abundant number, since it is smaller than the sum of its proper divisors (490237851740).

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

221224411044 is a wasteful number, since it uses less digits than its factorization.

221224411044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 221224411044 its reverse (440114422122), we get a palindrome (661338833166).

The spelling of 221224411044 in words is "two hundred twenty-one billion, two hundred twenty-four million, four hundred eleven thousand, forty-four".