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226611000 = 233353711109
BaseRepresentation
bin11011000000111…
…00111100111000
3120210102000212000
431200130330320
5431003023000
634253021000
75421106320
oct1540347470
9523360760
10226611000
11106a09220
1263a84760
1337c43865
142214c280
1514d64000
hexd81cf38

226611000 has 512 divisors, whose sum is σ = 988416000. Its totient is φ = 46656000.

The previous prime is 226610981. The next prime is 226611001. The reversal of 226611000 is 116622.

It is a happy number.

226611000 is a `hidden beast` number, since 2 + 2 + 661 + 1 + 0 + 0 + 0 = 666.

226611000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226611001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2078946 + ... + 2079054.

It is an arithmetic number, because the mean of its divisors is an integer number (1930500).

Almost surely, 2226611000 is an apocalyptic number.

226611000 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 226611000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494208000).

226611000 is an abundant number, since it is smaller than the sum of its proper divisors (761805000).

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

226611000 is a wasteful number, since it uses less digits than its factorization.

226611000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 226611000 is about 15053.6042195881. The cubic root of 226611000 is about 609.6683676189.

Adding to 226611000 its reverse (116622), we get a palindrome (226727622).

The spelling of 226611000 in words is "two hundred twenty-six million, six hundred eleven thousand".