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226203120 = 2432511134
BaseRepresentation
bin11010111101110…
…01010111110000
3120202122022100100
431132321113300
5430401444440
634240152400
75414460213
oct1536712760
9522568310
10226203120
1110675a830
1263908700
1337b30000
142208377a
1514cd3230
hexd7b95f0

226203120 has 300 divisors, whose sum is σ = 897784056. Its totient is φ = 50618880.

The previous prime is 226203119. The next prime is 226203143. The reversal of 226203120 is 21302622.

226203120 is a `hidden beast` number, since 22 + 620 + 3 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 226203093 and 226203102.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 17400234 + ... + 17400246.

Almost surely, 2226203120 is an apocalyptic number.

226203120 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 226203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448892028).

226203120 is an abundant number, since it is smaller than the sum of its proper divisors (671580936).

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

226203120 is a wasteful number, since it uses less digits than its factorization.

226203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

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

The square root of 226203120 is about 15040.0505318300. The cubic root of 226203120 is about 609.3023646758.

Adding to 226203120 its reverse (21302622), we get a palindrome (247505742).

The spelling of 226203120 in words is "two hundred twenty-six million, two hundred three thousand, one hundred twenty".