Search a number
-
+
22503096 = 2334711241
BaseRepresentation
bin101010111010…
…1111010111000
31120100021110000
41111311322320
521230044341
62122153000
7362162460
oct125657270
946307400
1022503096
111177aa00
127652760
13487b855
142dbaba0
151e978b6
hex1575eb8

22503096 has 240 divisors, whose sum is σ = 81108720. Its totient is φ = 5702400.

The previous prime is 22503079. The next prime is 22503097. The reversal of 22503096 is 69030522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22503097) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 548836 + ... + 548876.

It is an arithmetic number, because the mean of its divisors is an integer number (337953).

Almost surely, 222503096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22503096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40554360).

22503096 is an abundant number, since it is smaller than the sum of its proper divisors (58605624).

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

22503096 is a wasteful number, since it uses less digits than its factorization.

22503096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 22503096 is about 4743.7428260815. The cubic root of 22503096 is about 282.3237567262.

The spelling of 22503096 in words is "twenty-two million, five hundred three thousand, ninety-six".