Search a number
-
+
22001203233024 = 2831719791122679
BaseRepresentation
bin1010000000010100011011…
…11001110100000100000000
32212220021221200101221000220
411000022031321310010000
510340431431011424044
6114443114020343040
74430351216601651
oct500121571640400
985807850357026
1022001203233024
117012726722684
122573b92544a80
13c37920c01cc2
14560c1483d528
1528247d7dc019
hex14028de74100

22001203233024 has 288 divisors, whose sum is σ = 66089028096000. Its totient is φ = 6456278679552.

The previous prime is 22001203232999. The next prime is 22001203233127. The reversal of 22001203233024 is 42033230210022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22001203232985 and 22001203233003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19035717 + ... + 20158395.

It is an arithmetic number, because the mean of its divisors is an integer number (229475792000).

Almost surely, 222001203233024 is an apocalyptic number.

22001203233024 is a gapful number since it is divisible by the number (24) 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 22001203233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33044514048000).

22001203233024 is an abundant number, since it is smaller than the sum of its proper divisors (44087824862976).

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

22001203233024 is a wasteful number, since it uses less digits than its factorization.

22001203233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122813 (or 1122799 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22001203233024 its reverse (42033230210022), we get a palindrome (64034433443046).

The spelling of 22001203233024 in words is "twenty-two trillion, one billion, two hundred three million, two hundred thirty-three thousand, twenty-four".