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226130683024 = 2419262572
BaseRepresentation
bin1101001010011001110…
…0000110010010010000
3210121200102202220211101
43102212130012102100
512201103423324044
6251514421154144
722223505043231
oct3224634062220
9717612686741
10226130683024
11879a096a104
12379aa85b954
1318429b8a1ac
14ad326b3088
155d3753dcd4
hex34a6706490

226130683024 has 45 divisors (see below), whose sum is σ = 462475141977. Its totient is φ = 107097414912.

The previous prime is 226130683013. The next prime is 226130683057. The reversal of 226130683024 is 420386031622.

The square root of 226130683024 is 475532.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 223823610000 + 2307073024 = 473100^2 + 48032^2 .

It is a super-2 number, since 2×2261306830242 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36137304 + ... + 36143560.

Almost surely, 2226130683024 is an apocalyptic number.

226130683024 is the 475532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226130683024

226130683024 is an abundant number, since it is smaller than the sum of its proper divisors (236344458953).

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

226130683024 is an frugal number, since it uses more digits than its factorization.

226130683024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12560 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 226130683024 in words is "two hundred twenty-six billion, one hundred thirty million, six hundred eighty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 6257 12514 25028 50056 100112 118883 237766 475532 951064 1902128 2258777 4517554 9035108 18070216 36140432 39150049 78300098 156600196 313200392 626400784 743850931 1487701862 2975403724 5950807448 11901614896 14133167689 28266335378 56532670756 113065341512 226130683024