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2022432241140 = 22335171571403239
BaseRepresentation
bin11101011011100010010…
…110101111010111110100
321011100020210001202211000
4131123202112233113310
5231113420123204030
64145031553443300
7266054520260013
oct35334226572764
97140223052730
102022432241140
1170a788303653
12287b64570530
13118939b05a3c
146dc59bc8a7a
153791c53c860
hex1d6e25af5f4

2022432241140 has 192 divisors, whose sum is σ = 6704568460800. Its totient is φ = 504357414912.

The previous prime is 2022432241127. The next prime is 2022432241147. The reversal of 2022432241140 is 411422342202.

It is a happy number.

2022432241140 is a `hidden beast` number, since 2 + 0 + 2 + 243 + 2 + 2 + 411 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022432241147) 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, 739641 + ... + 2142879.

It is an arithmetic number, because the mean of its divisors is an integer number (34919627400).

Almost surely, 22022432241140 is an apocalyptic number.

2022432241140 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 2022432241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352284230400).

2022432241140 is an abundant number, since it is smaller than the sum of its proper divisors (4682136219660).

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

2022432241140 is a wasteful number, since it uses less digits than its factorization.

2022432241140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403431 (or 1403423 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2022432241140 its reverse (411422342202), we get a palindrome (2433854583342).

The spelling of 2022432241140 in words is "two trillion, twenty-two billion, four hundred thirty-two million, two hundred forty-one thousand, one hundred forty".