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226666200 = 233521959337
BaseRepresentation
bin11011000001010…
…10011011011000
3120210111211120110
431200222123120
5431011304300
634254124320
75421426255
oct1540523330
9523454513
10226666200
11106a46742
1263ab06a0
1337c62a17
142216442c
1514d75550
hexd82a6d8

226666200 has 192 divisors, whose sum is σ = 754416000. Its totient is φ = 56125440.

The previous prime is 226666199. The next prime is 226666207. The reversal of 226666200 is 2666622.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226666207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672432 + ... + 672768.

It is an arithmetic number, because the mean of its divisors is an integer number (3929250).

Almost surely, 2226666200 is an apocalyptic number.

226666200 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 226666200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377208000).

226666200 is an abundant number, since it is smaller than the sum of its proper divisors (527749800).

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

226666200 is a wasteful number, since it uses less digits than its factorization.

226666200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 226666200 is about 15055.4375559131. The cubic root of 226666200 is about 609.7178664837.

The spelling of 226666200 in words is "two hundred twenty-six million, six hundred sixty-six thousand, two hundred".