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2221202142 = 233314132363
BaseRepresentation
bin1000010001100100…
…1101101011011110
312201210120202112000
42010121031223132
514022111432032
61004224023130
7106020622665
oct20431155336
95653522460
102221202142
11a3a8a1055
1251ba61aa6
13295245cc3
14170dd9ddc
15d0008e7c
hex8464dade

2221202142 has 64 divisors (see below), whose sum is σ = 5219665920. Its totient is φ = 699019200.

The previous prime is 2221202131. The next prime is 2221202143. The reversal of 2221202142 is 2412021222.

2221202142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221202143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52453 + ... + 84815.

It is an arithmetic number, because the mean of its divisors is an integer number (81557280).

Almost surely, 22221202142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221202142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609832960).

2221202142 is an abundant number, since it is smaller than the sum of its proper divisors (2998463778).

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

2221202142 is a wasteful number, since it uses less digits than its factorization.

2221202142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32446 (or 32440 counting only the distinct ones).

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

The square root of 2221202142 is about 47129.6312525358. The cubic root of 2221202142 is about 1304.7561758766.

Adding to 2221202142 its reverse (2412021222), we get a palindrome (4633223364).

The spelling of 2221202142 in words is "two billion, two hundred twenty-one million, two hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 41 54 62 82 93 123 186 246 279 369 558 738 837 1107 1271 1674 2214 2542 3813 7626 11439 22878 32363 34317 64726 68634 97089 194178 291267 582534 873801 1003253 1326883 1747602 2006506 2653766 3009759 3980649 6019518 7961298 9029277 11941947 18058554 23883894 27087831 35825841 41133373 54175662 71651682 82266746 123400119 246800238 370200357 740400714 1110601071 2221202142