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226115190 = 23257379947
BaseRepresentation
bin11010111101000…
…11111001110110
3120202110211201200
431132203321312
5430341141230
634234233330
75413642650
oct1536437166
9522424650
10226115190
111066aa764
1263885846
1337acbc92
142205d6d0
1514cb7160
hexd7a3e76

226115190 has 96 divisors (see below), whose sum is σ = 674369280. Its totient is φ = 51492672.

The previous prime is 226115171. The next prime is 226115297. The reversal of 226115190 is 91511622.

226115190 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261151902 = 102256158297472200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238297 + ... + 239243.

It is an arithmetic number, because the mean of its divisors is an integer number (7024680).

Almost surely, 2226115190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226115190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337184640).

226115190 is an abundant number, since it is smaller than the sum of its proper divisors (448254090).

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

226115190 is a wasteful number, since it uses less digits than its factorization.

226115190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 226115190 is about 15037.1270527318. The cubic root of 226115190 is about 609.2234048152.

The spelling of 226115190 in words is "two hundred twenty-six million, one hundred fifteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 379 630 758 947 1137 1894 1895 2274 2653 2841 3411 3790 4735 5306 5682 5685 6629 6822 7959 8523 9470 11370 13258 13265 14205 15918 17046 17055 19887 23877 26530 28410 33145 34110 39774 39795 42615 47754 59661 66290 79590 85230 99435 119322 119385 198870 238770 298305 358913 596610 717826 1076739 1794565 2153478 2512391 3230217 3589130 5024782 5383695 6460434 7537173 10767390 12561955 15074346 16151085 22611519 25123910 32302170 37685865 45223038 75371730 113057595 226115190