Search a number
-
+
110222114240 = 2657298320443
BaseRepresentation
bin110011010100110111…
…1111111110111000000
3101112111120100112211102
41212221233333313000
53301213330123430
6122345122233532
710651256340560
oct1465157776700
9345446315742
10110222114240
11428215678a7
12194411b58a8
13a517527a54
1454988c0da0
152d0186e345
hex19a9bffdc0

110222114240 has 224 divisors, whose sum is σ = 314059092480. Its totient is φ = 36045950976.

The previous prime is 110222114227. The next prime is 110222114281. The reversal of 110222114240 is 42411222011.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1102221142402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5381459 + ... + 5401901.

It is an arithmetic number, because the mean of its divisors is an integer number (1402049520).

Almost surely, 2110222114240 is an apocalyptic number.

110222114240 is a gapful number since it is divisible by the number (10) 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 110222114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157029546240).

110222114240 is an abundant number, since it is smaller than the sum of its proper divisors (203836978240).

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

110222114240 is a wasteful number, since it uses less digits than its factorization.

110222114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20579 (or 20569 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 110222114240 its reverse (42411222011), we get a palindrome (152633336251).

The spelling of 110222114240 in words is "one hundred ten billion, two hundred twenty-two million, one hundred fourteen thousand, two hundred forty".