Search a number
-
+
226250532288 = 26341119367569
BaseRepresentation
bin1101001010110110010…
…1010010010111000000
3210121222210021220010000
43102231211102113000
512201330114013123
6251534342040000
722226461536054
oct3225545222700
9717883256100
10226250532288
1187a52588690
1237a22a19000
1318448960611
14ad4458dc64
155d42d14b43
hex34ad9525c0

226250532288 has 560 divisors, whose sum is σ = 773611660800. Its totient is φ = 64661483520.

The previous prime is 226250532163. The next prime is 226250532289. The reversal of 226250532288 is 882235052622.

226250532288 is a `hidden beast` number, since 2 + 2 + 62 + 50 + 532 + 2 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226250532289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 397628068 + ... + 397628636.

Almost surely, 2226250532288 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 226250532288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386805830400).

226250532288 is an abundant number, since it is smaller than the sum of its proper divisors (547361128512).

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

226250532288 is a wasteful number, since it uses less digits than its factorization.

226250532288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 226250532288 in words is "two hundred twenty-six billion, two hundred fifty million, five hundred thirty-two thousand, two hundred eighty-eight".