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2212210140 = 2235761791093
BaseRepresentation
bin1000001111011011…
…1010010111011100
312201011122220210220
42003312322113130
514012311211030
61003303201340
7105551322150
oct20366722734
95634586726
102212210140
11a3580a248
12518a46250
132934181aa
1416db39060
15ce32ea10
hex83dba5dc

2212210140 has 192 divisors, whose sum is σ = 7292866560. Its totient is φ = 490613760.

The previous prime is 2212210129. The next prime is 2212210141. The reversal of 2212210140 is 410122122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212210141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2023434 + ... + 2024526.

It is an arithmetic number, because the mean of its divisors is an integer number (37983680).

Almost surely, 22212210140 is an apocalyptic number.

2212210140 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 2212210140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646433280).

2212210140 is an abundant number, since it is smaller than the sum of its proper divisors (5080656420).

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

2212210140 is a wasteful number, since it uses less digits than its factorization.

2212210140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2212210140 is about 47034.1380276071. The cubic root of 2212210140 is about 1302.9931309147.

Adding to 2212210140 its reverse (410122122), we get a palindrome (2622332262).

The spelling of 2212210140 in words is "two billion, two hundred twelve million, two hundred ten thousand, one hundred forty".