Search a number
-
+
226523574 = 233103139293
BaseRepresentation
bin11011000000001…
…11100110110110
3120210020120221000
431200013212312
5430442223244
634251104130
75420263404
oct1540074666
9523216830
10226523574
11106959572
1263a42046
1337c12b24
1422128474
1514d48169
hexd8079b6

226523574 has 64 divisors (see below), whose sum is σ = 513676800. Its totient is φ = 73983456.

The previous prime is 226523569. The next prime is 226523593. The reversal of 226523574 is 475325622.

226523574 is a `hidden beast` number, since 2 + 2 + 65 + 23 + 574 = 666.

226523574 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772972 + ... + 773264.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2226523574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226523574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256838400).

226523574 is an abundant number, since it is smaller than the sum of its proper divisors (287153226).

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

226523574 is a wasteful number, since it uses less digits than its factorization.

226523574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 226523574 is about 15050.7001166059. The cubic root of 226523574 is about 609.5899546519.

The spelling of 226523574 in words is "two hundred twenty-six million, five hundred twenty-three thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 103 139 206 278 293 309 417 586 618 834 879 927 1251 1758 1854 2502 2637 2781 3753 5274 5562 7506 7911 14317 15822 28634 30179 40727 42951 60358 81454 85902 90537 122181 128853 181074 244362 257706 271611 366543 386559 543222 733086 773118 814833 1099629 1629666 2199258 4194881 8389762 12584643 25169286 37753929 75507858 113261787 226523574