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226148032 = 26112192953
BaseRepresentation
bin11010111101010…
…11111011000000
3120202112111210001
431132223323000
5430343214112
634235045344
75414140465
oct1536537300
9522474701
10226148032
11106722400
12638a0854
1337b10c06
142206b66c
1514cc1c57
hexd7abec0

226148032 has 168 divisors, whose sum is σ = 547268400. Its totient is φ = 92252160.

The previous prime is 226148023. The next prime is 226148053. The reversal of 226148032 is 230841622.

It is a super-2 number, since 2×2261480322 = 102285864754946048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4266918 + ... + 4266970.

It is an arithmetic number, because the mean of its divisors is an integer number (3257550).

Almost surely, 2226148032 is an apocalyptic number.

226148032 is a gapful number since it is divisible by the number (22) 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 226148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273634200).

226148032 is an abundant number, since it is smaller than the sum of its proper divisors (321120368).

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

226148032 is a wasteful number, since it uses less digits than its factorization.

226148032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 226148032 is about 15038.2190434905. The cubic root of 226148032 is about 609.2528988479.

Adding to 226148032 its reverse (230841622), we get a palindrome (456989654).

The spelling of 226148032 in words is "two hundred twenty-six million, one hundred forty-eight thousand, thirty-two".