Search a number
-
+
226525680 = 243351731199
BaseRepresentation
bin11011000000010…
…00000111110000
3120210020200211000
431200020013300
5430442310210
634251122000
75420302503
oct1540100760
9523220730
10226525680
11106960107
1263a43300
1337c13a84
142212913a
1514d48ac0
hexd8081f0

226525680 has 320 divisors, whose sum is σ = 857088000. Its totient is φ = 54743040.

The previous prime is 226525669. The next prime is 226525687. The reversal of 226525680 is 86525622.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226525687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138221 + ... + 1138419.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2226525680 is an apocalyptic number.

226525680 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 226525680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544000).

226525680 is an abundant number, since it is smaller than the sum of its proper divisors (630562320).

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

226525680 is a wasteful number, since it uses less digits than its factorization.

226525680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 226525680 is about 15050.7700799660. The cubic root of 226525680 is about 609.5918437746.

The spelling of 226525680 in words is "two hundred twenty-six million, five hundred twenty-five thousand, six hundred eighty".