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226219500 = 223353131289
BaseRepresentation
bin11010111101111…
…01010111101100
3120202200010211000
431132331113230
5430403011000
634240400300
75414556033
oct1536752754
9522603730
10226219500
11106771071
1263916090
1337b375c0
142208971a
1514cd8000
hexd7bd5ec

226219500 has 192 divisors, whose sum is σ = 788860800. Its totient is φ = 55641600.

The previous prime is 226219489. The next prime is 226219501. The reversal of 226219500 is 5912622.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226219501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174856 + ... + 176144.

It is an arithmetic number, because the mean of its divisors is an integer number (4108650).

Almost surely, 2226219500 is an apocalyptic number.

226219500 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 226219500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394430400).

226219500 is an abundant number, since it is smaller than the sum of its proper divisors (562641300).

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

226219500 is a wasteful number, since it uses less digits than its factorization.

226219500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 226219500 is about 15040.5950680151. The cubic root of 226219500 is about 609.3170714164.

The spelling of 226219500 in words is "two hundred twenty-six million, two hundred nineteen thousand, five hundred".