Search a number
-
+
226697856 = 27371121741
BaseRepresentation
bin11011000001100…
…10001010000000
3120210120102222220
431200302022000
5431013312411
634254531040
75421620460
oct1540621200
9523512886
10226697856
11106a68500
1263b06a80
1337c74258
1422171ba0
1514d7eb06
hexd832280

226697856 has 384 divisors, whose sum is σ = 820471680. Its totient is φ = 54067200.

The previous prime is 226697851. The next prime is 226697869. The reversal of 226697856 is 658796622.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (81).

It is a junction number, because it is equal to n+sod(n) for n = 226697799 and 226697808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226697851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5529196 + ... + 5529236.

It is an arithmetic number, because the mean of its divisors is an integer number (2136645).

Almost surely, 2226697856 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 226697856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410235840).

226697856 is an abundant number, since it is smaller than the sum of its proper divisors (593773824).

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

226697856 is a wasteful number, since it uses less digits than its factorization.

226697856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 226697856 is about 15056.4888337222. The cubic root of 226697856 is about 609.7462493808.

The spelling of 226697856 in words is "two hundred twenty-six million, six hundred ninety-seven thousand, eight hundred fifty-six".