Search a number
-
+
22445532135540 = 22335592917241517
BaseRepresentation
bin1010001101010000000011…
…11110000100000001110100
32221110202211201121212102000
411012220001332010001310
510420221422211314130
6115423200215015300
74504431132134553
oct506500176040164
987422751555360
1022445532135540
1171741078115a8
12262611736a530
13c6a7b23c1677
1457852609bd9a
1528dcd6c60260
hex146a01f84074

22445532135540 has 192 divisors, whose sum is σ = 71038752019200. Its totient is φ = 5881984998912.

The previous prime is 22445532135539. The next prime is 22445532135553. The reversal of 22445532135540 is 4553123554422.

22445532135540 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 5 + 53 + 21 + 35 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92814862 + ... + 93056378.

It is an arithmetic number, because the mean of its divisors is an integer number (369993500100).

Almost surely, 222445532135540 is an apocalyptic number.

22445532135540 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 22445532135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35519376009600).

22445532135540 is an abundant number, since it is smaller than the sum of its proper divisors (48593219883660).

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

22445532135540 is a wasteful number, since it uses less digits than its factorization.

22445532135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244511 (or 244503 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 22445532135540 its reverse (4553123554422), we get a palindrome (26998655689962).

The spelling of 22445532135540 in words is "twenty-two trillion, four hundred forty-five billion, five hundred thirty-two million, one hundred thirty-five thousand, five hundred forty".