Search a number
-
+
22256353350 = 232527111394621
BaseRepresentation
bin10100101110100101…
…010000000001000110
32010110002020220011100
4110232211100001012
5331040111301400
614120250520530
71415350611360
oct245645200106
963402226140
1022256353350
119491149760
124391736146
132138caa46a
141111c31d30
158a3dba100
hex52e950046

22256353350 has 288 divisors, whose sum is σ = 75102693120. Its totient is φ = 4590432000.

The previous prime is 22256353333. The next prime is 22256353381. The reversal of 22256353350 is 5335365222.

22256353350 is a `hidden beast` number, since 2 + 2 + 256 + 3 + 53 + 350 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4814040 + ... + 4818660.

It is an arithmetic number, because the mean of its divisors is an integer number (260773240).

Almost surely, 222256353350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22256353350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551346560).

22256353350 is an abundant number, since it is smaller than the sum of its proper divisors (52846339770).

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

22256353350 is a wasteful number, since it uses less digits than its factorization.

22256353350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 22256353350 in words is "twenty-two billion, two hundred fifty-six million, three hundred fifty-three thousand, three hundred fifty".