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226131360 = 253571331167
BaseRepresentation
bin11010111101001…
…11110110100000
3120202111122220120
431132213312200
5430342200420
634234440240
75414041050
oct1536476640
9522448816
10226131360
11106710924
1263893080
1337b06450
1422065560
1514cbbd40
hexd7a7da0

226131360 has 384 divisors, whose sum is σ = 910393344. Its totient is φ = 45895680.

The previous prime is 226131319. The next prime is 226131361. The reversal of 226131360 is 63131622.

It is a happy number.

It is a super-2 number, since 2×2261313602 = 102270783950899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 226131360.

It is not an unprimeable number, because it can be changed into a prime (226131361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1353997 + ... + 1354163.

It is an arithmetic number, because the mean of its divisors is an integer number (2370816).

Almost surely, 2226131360 is an apocalyptic number.

226131360 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 226131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455196672).

226131360 is an abundant number, since it is smaller than the sum of its proper divisors (684261984).

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

226131360 is a wasteful number, since it uses less digits than its factorization.

226131360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 226131360 is about 15037.6647123149. The cubic root of 226131360 is about 609.2379267758.

Adding to 226131360 its reverse (63131622), we get a palindrome (289262982).

The spelling of 226131360 in words is "two hundred twenty-six million, one hundred thirty-one thousand, three hundred sixty".