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2022121024 = 2672112732
BaseRepresentation
bin111100010000111…
…0001111001000000
312012220222101120021
41320201301321000
513120130333044
6532353023224
7101052513400
oct17041617100
95186871507
102022121024
11948486500
12485254b14
13262c21021
141527b6800
15bc7d1e84
hex78871e40

2022121024 has 189 divisors, whose sum is σ = 5201938161. Its totient is φ = 777047040.

The previous prime is 2022121001. The next prime is 2022121027. The reversal of 2022121024 is 4201212202.

The square root of 2022121024 is 44968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1147854400 + 874266624 = 33880^2 + 29568^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2022120989 and 2022121007.

It is not an unprimeable number, because it can be changed into a prime (2022121027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27700252 + ... + 27700324.

Almost surely, 22022121024 is an apocalyptic number.

2022121024 is the 44968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022121024

2022121024 is an abundant number, since it is smaller than the sum of its proper divisors (3179817137).

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

2022121024 is an equidigital number, since it uses as much as digits as its factorization.

2022121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The cubic root of 2022121024 is about 1264.5491525060.

Multiplying 2022121024 by its sum of digits (16), we get a square (32353936384 = 1798722).

2022121024 divided by its sum of digits (16) gives a square (126382564 = 112422).

Adding to 2022121024 its reverse (4201212202), we get a palindrome (6223333226).

The spelling of 2022121024 in words is "two billion, twenty-two million, one hundred twenty-one thousand, twenty-four".