Search a number
-
+
22322142412020 = 223351153205334537
BaseRepresentation
bin1010001001101010001110…
…10111100111110011110100
32221000222100111002110102000
411010311013113213303310
510411211221424141040
6115250352313015300
74462502332605363
oct504650727476364
987028314073360
1022322142412020
1171268494aaa90
1226062203b4530
13c5bc79b6bb49
1457257c8a17da
1528a9b43d2130
hex144d475e7cf4

22322142412020 has 384 divisors, whose sum is σ = 77229266849280. Its totient is φ = 5306586255360.

The previous prime is 22322142412007. The next prime is 22322142412021. The reversal of 22322142412020 is 2021424122322.

22322142412020 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 214 + 241 + 202 + 0 = 666.

It is a super-3 number, since 3×223221424120203 (a number of 41 digits) contains 333 as substring.

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 (22322142412021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 646308192 + ... + 646342728.

It is an arithmetic number, because the mean of its divisors is an integer number (201117882420).

Almost surely, 222322142412020 is an apocalyptic number.

22322142412020 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 22322142412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38614633424640).

22322142412020 is an abundant number, since it is smaller than the sum of its proper divisors (54907124437260).

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

22322142412020 is a wasteful number, since it uses less digits than its factorization.

22322142412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36672 (or 36664 counting only the distinct ones).

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

Adding to 22322142412020 its reverse (2021424122322), we get a palindrome (24343566534342).

The spelling of 22322142412020 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred forty-two million, four hundred twelve thousand, twenty".