Search a number
-
+
226689750 = 23253737389
BaseRepresentation
bin11011000001100…
…00001011010110
3120210120000212200
431200300023112
5431013033000
634254425330
75421555030
oct1540601326
9523500780
10226689750
11106a62401
1263b02246
1337c70661
142216cc50
1514d7c500
hexd8302d6

226689750 has 192 divisors, whose sum is σ = 721319040. Its totient is φ = 50284800.

The previous prime is 226689737. The next prime is 226689751. The reversal of 226689750 is 57986622.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 226689696 and 226689705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226689751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582556 + ... + 582944.

It is an arithmetic number, because the mean of its divisors is an integer number (3756870).

Almost surely, 2226689750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226689750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360659520).

226689750 is an abundant number, since it is smaller than the sum of its proper divisors (494629290).

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

226689750 is a wasteful number, since it uses less digits than its factorization.

226689750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 226689750 is about 15056.2196450503. The cubic root of 226689750 is about 609.7389817602.

The spelling of 226689750 in words is "two hundred twenty-six million, six hundred eighty-nine thousand, seven hundred fifty".