Search a number
-
+
226146060360 = 233251157107591
BaseRepresentation
bin1101001010011101011…
…0110000100001001000
3210121201111201011120100
43102213112300201020
512201121342412420
6251520130525400
722224052540143
oct3224726604110
9717644634510
10226146060360
11879a9612350
12379b3a36860
13184301124cc
14ad3475705a
155d38a7a190
hex34a75b0848

226146060360 has 96 divisors (see below), whose sum is σ = 801790591680. Its totient is φ = 54823286400.

The previous prime is 226146060337. The next prime is 226146060367. The reversal of 226146060360 is 63060641622.

226146060360 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 46 + 0 + 603 + 6 + 0 = 666.

It is a super-2 number, since 2×2261460603602 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (226146060367) 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, 28549836 + ... + 28557755.

It is an arithmetic number, because the mean of its divisors is an integer number (8351985330).

Almost surely, 2226146060360 is an apocalyptic number.

226146060360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226146060360 is an abundant number, since it is smaller than the sum of its proper divisors (575644531320).

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

226146060360 is a wasteful number, since it uses less digits than its factorization.

226146060360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57107619 (or 57107612 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 226146060360 in words is "two hundred twenty-six billion, one hundred forty-six million, sixty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 57107591 114215182 171322773 228430364 285537955 342645546 456860728 513968319 571075910 628183501 685291092 856613865 1027936638 1142151820 1256367002 1370582184 1713227730 1884550503 2055873276 2284303640 2512734004 2569841595 3140917505 3426455460 3769101006 4111746552 5025468008 5139683190 5653651509 6281835010 6852910920 7538202012 9422752515 10279366380 11307303018 12563670020 15076404024 18845505030 20558732760 22614606036 25127340040 28268257545 37691010060 45229212072 56536515090 75382020120 113073030180 226146060360