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226620810 = 2325131091777
BaseRepresentation
bin11011000000111…
…11010110001010
3120210102112022100
431200133112022
5431003331220
634253134230
75421150033
oct1540372612
9523375270
10226620810
11106a15629
1263a8a376
1337c48170
1422151a8a
1514d66d90
hexd81f58a

226620810 has 96 divisors (see below), whose sum is σ = 640720080. Its totient is φ = 55240704.

The previous prime is 226620799. The next prime is 226620811. The reversal of 226620810 is 18026622.

226620810 is a `hidden beast` number, since 2 + 26 + 620 + 8 + 10 = 666.

226620810 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 77316849 + 149303961 = 8793^2 + 12219^2 .

It is a super-2 number, since 2×2266208102 = 102713983050112200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226620811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126642 + ... + 128418.

Almost surely, 2226620810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226620810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320360040).

226620810 is an abundant number, since it is smaller than the sum of its proper divisors (414099270).

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

226620810 is a wasteful number, since it uses less digits than its factorization.

226620810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 226620810 is about 15053.9300516510. The cubic root of 226620810 is about 609.6771650153.

The spelling of 226620810 in words is "two hundred twenty-six million, six hundred twenty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 109 117 130 195 218 234 327 390 545 585 654 981 1090 1170 1417 1635 1777 1962 2834 3270 3554 4251 4905 5331 7085 8502 8885 9810 10662 12753 14170 15993 17770 21255 23101 25506 26655 31986 42510 46202 53310 63765 69303 79965 115505 127530 138606 159930 193693 207909 231010 346515 387386 415818 581079 693030 968465 1039545 1162158 1743237 1936930 2079090 2518009 2905395 3486474 5036018 5810790 7554027 8716185 12590045 15108054 17432370 22662081 25180090 37770135 45324162 75540270 113310405 226620810