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226736568 = 2332109167173
BaseRepresentation
bin11011000001110…
…11100110111000
3120210122102002200
431200323212320
5431021032233
634255430200
75422141362
oct1540734670
9523572080
10226736568
11106a945a3
1263b25360
1337c88a66
1422181d32
1514d8b313
hexd83b9b8

226736568 has 96 divisors (see below), whose sum is σ = 627026400. Its totient is φ = 74006784.

The previous prime is 226736567. The next prime is 226736569. The reversal of 226736568 is 865637622.

It is a happy number.

226736568 is a `hidden beast` number, since 22 + 67 + 3 + 6 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (226736567) and next prime (226736569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226736561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1310530 + ... + 1310702.

It is an arithmetic number, because the mean of its divisors is an integer number (6531525).

Almost surely, 2226736568 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 226736568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313513200).

226736568 is an abundant number, since it is smaller than the sum of its proper divisors (400289832).

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

226736568 is a wasteful number, since it uses less digits than its factorization.

226736568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 454 counting only the distinct ones).

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

The square root of 226736568 is about 15057.7743375308. The cubic root of 226736568 is about 609.7809551249.

It can be divided in two parts, 22673 and 6568, that added together give a square (29241 = 1712).

The spelling of 226736568 in words is "two hundred twenty-six million, seven hundred thirty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 167 173 218 327 334 346 436 501 519 654 668 692 872 981 1002 1038 1308 1336 1384 1503 1557 1962 2004 2076 2616 3006 3114 3924 4008 4152 6012 6228 7848 12024 12456 18203 18857 28891 36406 37714 54609 56571 57782 72812 75428 86673 109218 113142 115564 145624 150856 163827 169713 173346 218436 226284 231128 260019 327654 339426 346692 436872 452568 520038 655308 678852 693384 1040076 1310616 1357704 2080152 3149119 6298238 9447357 12596476 18894714 25192952 28342071 37789428 56684142 75578856 113368284 226736568