Search a number
-
+
226071576 = 233217199721
BaseRepresentation
bin11010111100110…
…01010000011000
3120202101121220100
431132121100120
5430333242301
634233255400
75413401543
oct1536312030
9522347810
10226071576
1110667aa15
1263864560
1337ab5183
142204b85a
1514ca9286
hexd799418

226071576 has 96 divisors (see below), whose sum is σ = 682484400. Its totient is φ = 67184640.

The previous prime is 226071523. The next prime is 226071589. The reversal of 226071576 is 675170622.

226071576 is a `hidden beast` number, since 22 + 60 + 7 + 1 + 576 = 666.

226071576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260715762 = 102216714950247552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226071576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18396 + ... + 28116.

Almost surely, 2226071576 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 226071576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341242200).

226071576 is an abundant number, since it is smaller than the sum of its proper divisors (456412824).

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

226071576 is a wasteful number, since it uses less digits than its factorization.

226071576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9762 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 226071576 is about 15035.6767722640. The cubic root of 226071576 is about 609.1842324829.

The spelling of 226071576 in words is "two hundred twenty-six million, seventy-one thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2584 2907 3876 5814 7752 9721 11628 19442 23256 29163 38884 58326 77768 87489 116652 165257 174978 184699 233304 330514 349956 369398 495771 554097 661028 699912 738796 991542 1108194 1322056 1477592 1487313 1662291 1983084 2216388 2974626 3139883 3324582 3966168 4432776 5949252 6279766 6649164 9419649 11898504 12559532 13298328 18839298 25119064 28258947 37678596 56517894 75357192 113035788 226071576