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2212221024 = 253313892213
BaseRepresentation
bin1000001111011011…
…1101000001100000
312201011200110202000
42003312331001200
514012312033044
61003303324000
7105551365656
oct20366750140
95634613660
102212221024
11a35817442
12518a50600
13293420130
1416db3cdd6
15ce332d69
hex83dbd060

2212221024 has 192 divisors, whose sum is σ = 7029892800. Its totient is φ = 672731136.

The previous prime is 2212221013. The next prime is 2212221049. The reversal of 2212221024 is 4201222122.

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

It is a junction number, because it is equal to n+sod(n) for n = 2212220988 and 2212221006.

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, 998542 + ... + 1000754.

It is an arithmetic number, because the mean of its divisors is an integer number (36614025).

Almost surely, 22212221024 is an apocalyptic number.

2212221024 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 2212221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514946400).

2212221024 is an abundant number, since it is smaller than the sum of its proper divisors (4817671776).

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

2212221024 is a wasteful number, since it uses less digits than its factorization.

2212221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2212221024 is about 47034.2537306589. The cubic root of 2212221024 is about 1302.9952678054.

Adding to 2212221024 its reverse (4201222122), we get a palindrome (6413443146).

The spelling of 2212221024 in words is "two billion, two hundred twelve million, two hundred twenty-one thousand, twenty-four".