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22231233024 = 2937111319761
BaseRepresentation
bin10100101101000101…
…011011001000000000
32010101022222122112220
4110231011123020000
5331012143424044
614113552251040
71414624235310
oct245505331000
963338878486
1022231233024
119478a51460
124385240a80
132133a23570
14110c773440
158a1aa7019
hex52d15b200

22231233024 has 640 divisors, whose sum is σ = 83814635520. Its totient is φ = 5042995200.

The previous prime is 22231232999. The next prime is 22231233049. The reversal of 22231233024 is 42033213222.

It is an interprime number because it is at equal distance from previous prime (22231232999) and next prime (22231233049).

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 = 22231232985 and 22231233003.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 29212804 + ... + 29213564.

It is an arithmetic number, because the mean of its divisors is an integer number (130960368).

Almost surely, 222231233024 is an apocalyptic number.

22231233024 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 22231233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41907317760).

22231233024 is an abundant number, since it is smaller than the sum of its proper divisors (61583402496).

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

22231233024 is a wasteful number, since it uses less digits than its factorization.

22231233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 816 counting only the distinct ones).

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

Adding to 22231233024 its reverse (42033213222), we get a palindrome (64264446246).

It can be divided in two parts, 22231 and 233024, that added together give a triangular number (255255 = T714).

The spelling of 22231233024 in words is "twenty-two billion, two hundred thirty-one million, two hundred thirty-three thousand, twenty-four".