Search a number
-
+
226494576 = 24337112619
BaseRepresentation
bin11011000000000…
…00100001110000
3120210012010011000
431200000201300
5430440311301
634250322000
75420113020
oct1540004160
9523163130
10226494576
11106939800
1263a29300
1337c02879
142211ba80
1514d3e786
hexd800870

226494576 has 240 divisors, whose sum is σ = 818003200. Its totient is φ = 58734720.

The previous prime is 226494559. The next prime is 226494577. The reversal of 226494576 is 675494622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226494577) 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, 365595 + ... + 366213.

Almost surely, 2226494576 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 226494576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409001600).

226494576 is an abundant number, since it is smaller than the sum of its proper divisors (591508624).

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

226494576 is a wasteful number, since it uses less digits than its factorization.

226494576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 642 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 226494576 is about 15049.7367418836. The cubic root of 226494576 is about 609.5639416951.

It can be divided in two parts, 22649 and 4576, that added together give a square (27225 = 1652).

The spelling of 226494576 in words is "two hundred twenty-six million, four hundred ninety-four thousand, five hundred seventy-six".