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226710000 = 24325411229
BaseRepresentation
bin11011000001101…
…01000111110000
3120210121001122200
431200311013300
5431014210000
634255103200
75422001046
oct1540650760
9523531580
10226710000
11106a76640
1263b11b00
1337c7993a
1422176396
1514d83500
hexd8351f0

226710000 has 300 divisors, whose sum is σ = 868690680. Its totient is φ = 54720000.

The previous prime is 226709993. The next prime is 226710007. The reversal of 226710000 is 17622.

It is a happy number.

226710000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226709993) and next prime (226710007).

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226710007) 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 59 ways as a sum of consecutive naturals, for example, 989886 + ... + 990114.

Almost surely, 2226710000 is an apocalyptic number.

226710000 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 226710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434345340).

226710000 is an abundant number, since it is smaller than the sum of its proper divisors (641980680).

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

226710000 is a wasteful number, since it uses less digits than its factorization.

226710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 226710000 is about 15056.8921095955. The cubic root of 226710000 is about 609.7571370389.

Adding to 226710000 its reverse (17622), we get a palindrome (226727622).

The spelling of 226710000 in words is "two hundred twenty-six million, seven hundred ten thousand".