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226397100 = 223524611637
BaseRepresentation
bin11010111111010…
…00101110101100
3120210000011102210
431133220232230
5430424201400
634244250420
75416225566
oct1537505654
9523004383
10226397100
11106882546
12639a0a10
1337b9a3a7
14220d4336
1514d20950
hexd7e8bac

226397100 has 72 divisors (see below), whose sum is σ = 656864208. Its totient is φ = 60204800.

The previous prime is 226397071. The next prime is 226397111. The reversal of 226397100 is 1793622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137482 + ... + 139118.

It is an arithmetic number, because the mean of its divisors is an integer number (9123114).

Almost surely, 2226397100 is an apocalyptic number.

226397100 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 226397100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328432104).

226397100 is an abundant number, since it is smaller than the sum of its proper divisors (430467108).

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

226397100 is a wasteful number, since it uses less digits than its factorization.

226397100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 226397100 is about 15046.4979314125. The cubic root of 226397100 is about 609.4764835585.

The spelling of 226397100 in words is "two hundred twenty-six million, three hundred ninety-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 461 922 1383 1637 1844 2305 2766 3274 4610 4911 5532 6548 6915 8185 9220 9822 11525 13830 16370 19644 23050 24555 27660 32740 34575 40925 46100 49110 69150 81850 98220 122775 138300 163700 245550 491100 754657 1509314 2263971 3018628 3773285 4527942 7546570 9055884 11319855 15093140 18866425 22639710 37732850 45279420 56599275 75465700 113198550 226397100