Search a number
-
+
22103303040 = 2732571342169
BaseRepresentation
bin10100100101011101…
…011010001110000000
32010001102021010121100
4110211131122032000
5330231421144130
614053142254400
71411511655510
oct244535321600
963042233540
1022103303040
1194128137a5
12434a427400
132113381050
1410d9791840
15895736c60
hex52575a380

22103303040 has 384 divisors, whose sum is σ = 93941265600. Its totient is φ = 4663443456.

The previous prime is 22103303039. The next prime is 22103303051. The reversal of 22103303040 is 4030330122.

22103303040 is a `hidden beast` number, since 22 + 10 + 330 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503076 + ... + 545244.

Almost surely, 222103303040 is an apocalyptic number.

22103303040 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 22103303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46970632800).

22103303040 is an abundant number, since it is smaller than the sum of its proper divisors (71837962560).

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

22103303040 is a wasteful number, since it uses less digits than its factorization.

22103303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42214 (or 42199 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22103303040 its reverse (4030330122), we get a palindrome (26133633162).

The spelling of 22103303040 in words is "twenty-two billion, one hundred three million, three hundred three thousand, forty".