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226140288 = 27311231157
BaseRepresentation
bin11010111101010…
…10000010000000
3120202112010011020
431132222002000
5430342442123
634234545440
75414106063
oct1536520200
9522463136
10226140288
11106717600
1263898280
1337b0a52a
14220688da
1514cbe7e3
hexd7aa080

226140288 has 192 divisors, whose sum is σ = 685896960. Its totient is φ = 65894400.

The previous prime is 226140281. The next prime is 226140353. The reversal of 226140288 is 882041622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2261402882 = 102278859713445888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (226140281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440306 + ... + 1440462.

It is an arithmetic number, because the mean of its divisors is an integer number (3572380).

Almost surely, 2226140288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342948480).

226140288 is an abundant number, since it is smaller than the sum of its proper divisors (459756672).

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

226140288 is a wasteful number, since it uses less digits than its factorization.

226140288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 226140288 is about 15037.9615639887. The cubic root of 226140288 is about 609.2459445413.

The spelling of 226140288 in words is "two hundred twenty-six million, one hundred forty thousand, two hundred eighty-eight".