Search a number
-
+
22551124332000 = 253531147277339
BaseRepresentation
bin1010010000010100101111…
…10000010100110111100000
32221211212101121222020001010
411020022113300110313200
510423434200312111000
6115543502110140520
74515156612036045
oct510122760246740
987755347866033
1022551124332000
117204972862670
122642685ab1740
13c7773c6556a4
1457d6a1ad51cc
15291916dcbd50
hex148297c14de0

22551124332000 has 576 divisors, whose sum is σ = 82345924926720. Its totient is φ = 5350552192000.

The previous prime is 22551124331969. The next prime is 22551124332017. The reversal of 22551124332000 is 23342115522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291549331 + ... + 291626669.

It is an arithmetic number, because the mean of its divisors is an integer number (142961675220).

Almost surely, 222551124332000 is an apocalyptic number.

22551124332000 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 22551124332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41172962463360).

22551124332000 is an abundant number, since it is smaller than the sum of its proper divisors (59794800594720).

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

22551124332000 is a wasteful number, since it uses less digits than its factorization.

22551124332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77472 (or 77407 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 22551124332000 its reverse (23342115522), we get a palindrome (22574466447522).

The spelling of 22551124332000 in words is "twenty-two trillion, five hundred fifty-one billion, one hundred twenty-four million, three hundred thirty-two thousand".