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2022412140 = 22325717263359
BaseRepresentation
bin111100010001011…
…1000111101101100
312012221112011220100
41320202320331230
513120214142030
6532403151100
7101055135210
oct17042707554
95187464810
102022412140
119486651a1
12485375490
13262cc3698
14152850940
15bc83d360
hex788b8f6c

2022412140 has 288 divisors, whose sum is σ = 7472424960. Its totient is φ = 432211968.

The previous prime is 2022412127. The next prime is 2022412141. The reversal of 2022412140 is 412142202.

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

It is not an unprimeable number, because it can be changed into a prime (2022412141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5633281 + ... + 5633639.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 22022412140 is an apocalyptic number.

2022412140 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 2022412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736212480).

2022412140 is an abundant number, since it is smaller than the sum of its proper divisors (5450012820).

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

2022412140 is a wasteful number, since it uses less digits than its factorization.

2022412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 656 counting only the distinct ones).

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

The square root of 2022412140 is about 44971.2368075418. The cubic root of 2022412140 is about 1264.6098334811.

Adding to 2022412140 its reverse (412142202), we get a palindrome (2434554342).

The spelling of 2022412140 in words is "two billion, twenty-two million, four hundred twelve thousand, one hundred forty".