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226738075260 = 223531480125391
BaseRepresentation
bin1101001100101010100…
…1000111011001111100
3210200020202200122100010
43103022221013121330
512203324421402020
6252054555503220
722244531561124
oct3231251073174
9720222618303
10226738075260
1188182806964
1237b3a157b10
13184c5973698
14ad8d221c84
155d70a1bde0
hex34caa4767c

226738075260 has 96 divisors (see below), whose sum is σ = 655508496384. Its totient is φ = 58498560000.

The previous prime is 226738075253. The next prime is 226738075261. The reversal of 226738075260 is 62570837622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226738075261) 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, 8917165 + ... + 8942555.

It is an arithmetic number, because the mean of its divisors is an integer number (6828213504).

Almost surely, 2226738075260 is an apocalyptic number.

226738075260 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 226738075260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327754248192).

226738075260 is an abundant number, since it is smaller than the sum of its proper divisors (428770421124).

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

226738075260 is a wasteful number, since it uses less digits than its factorization.

226738075260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30235 (or 30233 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 226738075260 in words is "two hundred twenty-six billion, seven hundred thirty-eight million, seventy-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 4801 9602 14403 19204 24005 25391 28806 48010 50782 57612 72015 76173 96020 101564 126955 144030 148831 152346 253910 288060 297662 304692 380865 446493 507820 595324 744155 761730 787121 892986 1488310 1523460 1574242 1785972 2232465 2361363 2976620 3148484 3935605 4464930 4722726 7871210 8929860 9445452 11806815 15742420 23613630 47227260 121902191 243804382 365706573 487608764 609510955 731413146 1219021910 1462826292 1828532865 2438043820 3657065730 3778967921 7314131460 7557935842 11336903763 15115871684 18894839605 22673807526 37789679210 45347615052 56684518815 75579358420 113369037630 226738075260