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226015000 = 2354172659
BaseRepresentation
bin11010111100010…
…11011100011000
3120202021202021221
431132023130120
5430324440000
634232141424
75413044601
oct1536133430
9522252257
10226015000
11106641462
1263837874
1337a954b3
1422034da8
1514c9761a
hexd78b718

226015000 has 80 divisors (see below), whose sum is σ = 560914200. Its totient is φ = 85056000.

The previous prime is 226014979. The next prime is 226015003. The reversal of 226015000 is 510622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226015003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83671 + ... + 86329.

Almost surely, 2226015000 is an apocalyptic number.

226015000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280457100).

226015000 is an abundant number, since it is smaller than the sum of its proper divisors (334899200).

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

226015000 is a wasteful number, since it uses less digits than its factorization.

226015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 226015000 is about 15033.7952626740. The cubic root of 226015000 is about 609.1334106986.

Adding to 226015000 its reverse (510622), we get a palindrome (226525622).

The spelling of 226015000 in words is "two hundred twenty-six million, fifteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 2659 3400 4250 5000 5318 8500 10625 10636 13295 17000 21250 21272 26590 42500 45203 53180 66475 85000 90406 106360 132950 180812 226015 265900 332375 361624 452030 531800 664750 904060 1130075 1329500 1661875 1808120 2260150 2659000 3323750 4520300 5650375 6647500 9040600 11300750 13295000 22601500 28251875 45203000 56503750 113007500 226015000