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2022242112 = 26351111821
BaseRepresentation
bin111100010001000…
…1111011101000000
312012221012112200000
41320202033131000
513120143221422
6532355400000
7101053526412
oct17042173500
95187175600
102022242112
11948559480
124852b3000
13262c64187
141528089b2
15bc807cac
hex7888f740

2022242112 has 168 divisors, whose sum is σ = 6558088992. Its totient is φ = 612748800.

The previous prime is 2022242081. The next prime is 2022242137. The reversal of 2022242112 is 2112422202.

2022242112 is a `hidden beast` number, since 20 + 222 + 421 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165162 + ... + 176982.

It is an arithmetic number, because the mean of its divisors is an integer number (39036244).

Almost surely, 22022242112 is an apocalyptic number.

2022242112 is a gapful number since it is divisible by the number (22) 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 2022242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279044496).

2022242112 is an abundant number, since it is smaller than the sum of its proper divisors (4535846880).

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

2022242112 is a wasteful number, since it uses less digits than its factorization.

2022242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11859 (or 11837 counting only the distinct ones).

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

The square root of 2022242112 is about 44969.3463594925. The cubic root of 2022242112 is about 1264.5743931106.

Adding to 2022242112 its reverse (2112422202), we get a palindrome (4134664314).

The spelling of 2022242112 in words is "two billion, twenty-two million, two hundred forty-two thousand, one hundred twelve".