Search a number
-
+
226314060 = 22357569947
BaseRepresentation
bin11010111110101…
…00011101001100
3120202211221112020
431133110131030
5430414022220
634242410140
75415431520
oct1537243514
9522757466
10226314060
11106826115
1263960950
1337b6b65b
14220b1d80
1514d06040
hexd7d474c

226314060 has 96 divisors (see below), whose sum is σ = 726243840. Its totient is φ = 51583488.

The previous prime is 226314041. The next prime is 226314061. The reversal of 226314060 is 60413622.

It is a self number, because there is not a number n which added to its sum of digits gives 226314060.

It is not an unprimeable number, because it can be changed into a prime (226314061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238507 + ... + 239453.

It is an arithmetic number, because the mean of its divisors is an integer number (7565040).

Almost surely, 2226314060 is an apocalyptic number.

226314060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226314060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363121920).

226314060 is an abundant number, since it is smaller than the sum of its proper divisors (499929780).

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

226314060 is a wasteful number, since it uses less digits than its factorization.

226314060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 226314060 is about 15043.7382322347. The cubic root of 226314060 is about 609.4019579921.

Adding to 226314060 its reverse (60413622), we get a palindrome (286727682).

The spelling of 226314060 in words is "two hundred twenty-six million, three hundred fourteen thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 569 947 1138 1707 1894 2276 2841 2845 3414 3788 3983 4735 5682 5690 6629 6828 7966 8535 9470 11364 11380 11949 13258 14205 15932 17070 18940 19887 19915 23898 26516 28410 33145 34140 39774 39830 47796 56820 59745 66290 79548 79660 99435 119490 132580 198870 238980 397740 538843 1077686 1616529 2155372 2694215 3233058 3771901 5388430 6466116 7543802 8082645 10776860 11315703 15087604 16165290 18859505 22631406 32330580 37719010 45262812 56578515 75438020 113157030 226314060