Search a number
226576 = 2472172
BaseRepresentation
bin110111010100010000
3102111210201
4313110100
524222301
64504544
71632400
oct672420
9374721
10226576
11145259
12ab154
137c18c
145c800
1547201
hex37510

226576 has 45 divisors (see below), whose sum is σ = 542469. Its totient is φ = 91392.

The previous prime is 226571. The next prime is 226601. The reversal of 226576 is 675622.

226576 = T475 + T476.

The square root of 226576 is 476.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 50176 = 420^2 + 224^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

Its product of digits (5040) is a multiple of the sum of its prime factors (56).

It is not an unprimeable number, because it can be changed into a prime (226571) by changing a digit.

226576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13320 + ... + 13336.

226576 is a Friedman number, since it can be written as (7*(6*6+2^5))^2, using all its digits and the basic arithmetic operations.

2226576 is an apocalyptic number.

226576 is the 476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226576

226576 is an abundant number, since it is smaller than the sum of its proper divisors (315893).

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

226576 is a wasteful number, since it uses less digits than its factorization.

226576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 26 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The cubic root of 226576 is about 60.9636978305.

The spelling of 226576 in words is "two hundred twenty-six thousand, five hundred seventy-six".