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226340100 = 223252737971
BaseRepresentation
bin11010111110110…
…10110100000100
3120202220021020200
431133122310010
5430420340400
634243130500
75415600450
oct1537326404
9522807220
10226340100
11106843738
1263973a30
1337b7a46c
14220bb660
1514d0db00
hexd7dad04

226340100 has 216 divisors, whose sum is σ = 833571648. Its totient is φ = 50284800.

The previous prime is 226340069. The next prime is 226340113. The reversal of 226340100 is 1043622.

It is a happy number.

226340100 is a `hidden beast` number, since 2 + 263 + 401 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 232615 + ... + 233585.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2226340100 is an apocalyptic number.

226340100 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 226340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416785824).

226340100 is an abundant number, since it is smaller than the sum of its proper divisors (607231548).

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

226340100 is a wasteful number, since it uses less digits than its factorization.

226340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 226340100 is about 15044.6036837133. The cubic root of 226340100 is about 609.4253299653.

Adding to 226340100 its reverse (1043622), we get a palindrome (227383722).

The spelling of 226340100 in words is "two hundred twenty-six million, three hundred forty thousand, one hundred".