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226128340 = 22597229509
BaseRepresentation
bin11010111101001…
…11000111010100
3120202111111202201
431132213013110
5430342101330
634234414244
75414026204
oct1536470724
9522444681
10226128340
11106709629
1263891384
1337b04c69
1422064404
1514cbaeca
hexd7a71d4

226128340 has 48 divisors (see below), whose sum is σ = 482806800. Its totient is φ = 88952832.

The previous prime is 226128319. The next prime is 226128347. The reversal of 226128340 is 43821622.

It can be written as a sum of positive squares in 8 ways, for example, as 24147396 + 201980944 = 4914^2 + 14212^2 .

It is a super-2 number, since 2×2261283402 = 102268052302311200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226128299 and 226128308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226128347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444006 + ... + 444514.

It is an arithmetic number, because the mean of its divisors is an integer number (10058475).

Almost surely, 2226128340 is an apocalyptic number.

226128340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226128340 is an abundant number, since it is smaller than the sum of its proper divisors (256678460).

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

226128340 is a wasteful number, since it uses less digits than its factorization.

226128340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 226128340 is about 15037.5642974519. The cubic root of 226128340 is about 609.2352146255.

Adding to 226128340 its reverse (43821622), we get a palindrome (269949962).

The spelling of 226128340 in words is "two hundred twenty-six million, one hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 97 194 229 388 458 485 509 916 970 1018 1145 1940 2036 2290 2545 4580 5090 10180 22213 44426 49373 88852 98746 111065 116561 197492 222130 233122 246865 444260 466244 493730 582805 987460 1165610 2331220 11306417 22612834 45225668 56532085 113064170 226128340