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226808358 = 23721922137
BaseRepresentation
bin11011000010011…
…01001000100110
3120210210001120120
431201031020212
5431030331413
634301142410
75422560600
oct1541151046
9523701516
10226808358
11107033527
1263b5aa06
1337cb263a
14221a0170
1514da2723
hexd84d226

226808358 has 72 divisors (see below), whose sum is σ = 557171352. Its totient is φ = 61363008.

The previous prime is 226808353. The next prime is 226808423. The reversal of 226808358 is 853808622.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226808353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105066 + ... + 107202.

It is an arithmetic number, because the mean of its divisors is an integer number (7738491).

Almost surely, 2226808358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226808358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278585676).

226808358 is an abundant number, since it is smaller than the sum of its proper divisors (330362994).

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

226808358 is a wasteful number, since it uses less digits than its factorization.

226808358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 226808358 is about 15060.1579672990. The cubic root of 226808358 is about 609.8453052145.

The spelling of 226808358 in words is "two hundred twenty-six million, eight hundred eight thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 361 399 722 798 931 1083 1862 2137 2166 2527 2793 4274 5054 5586 6411 7581 12822 14959 15162 17689 29918 35378 40603 44877 53067 81206 89754 104713 106134 121809 209426 243618 284221 314139 568442 628278 771457 852663 1542914 1705326 1989547 2314371 3979094 4628742 5400199 5968641 10800398 11937282 16200597 32401194 37801393 75602786 113404179 226808358