Search a number
-
+
22298304240 = 2433519599209
BaseRepresentation
bin10100110001000101…
…010001111011110000
32010120000012012222000
4110301011101323300
5331131331213430
614124350014000
71416400313232
oct246105217360
963500165860
1022298304240
1195028a2013
1243a37a7300
1321448a7c84
141117632252
158a7904e60
hex531151ef0

22298304240 has 320 divisors, whose sum is σ = 82226880000. Its totient is φ = 5537175552.

The previous prime is 22298304169. The next prime is 22298304257. The reversal of 22298304240 is 4240389222.

22298304240 is a `hidden beast` number, since 2 + 22 + 98 + 304 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22298304195 and 22298304204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2416756 + ... + 2425964.

It is an arithmetic number, because the mean of its divisors is an integer number (256959000).

Almost surely, 222298304240 is an apocalyptic number.

22298304240 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 22298304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41113440000).

22298304240 is an abundant number, since it is smaller than the sum of its proper divisors (59928575760).

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

22298304240 is a wasteful number, since it uses less digits than its factorization.

22298304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9309 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22298304240 in words is "twenty-two billion, two hundred ninety-eight million, three hundred four thousand, two hundred forty".