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226702224 = 24327219289
BaseRepresentation
bin11011000001100…
…11001110010000
3120210120122222200
431200303032100
5431013432344
634255003200
75421636300
oct1540631620
9523518880
10226702224
11106a70811
1263b09500
1337c76238
1422173600
1514d81069
hexd833390

226702224 has 270 divisors, whose sum is σ = 787675590. Its totient is φ = 60673536.

The previous prime is 226702213. The next prime is 226702241. The reversal of 226702224 is 422207622.

It can be written as a sum of positive squares in only one way, i.e., 163021824 + 63680400 = 12768^2 + 7980^2 .

It is a super-3 number, since 3×2267022243 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2547172 + ... + 2547260.

It is an arithmetic number, because the mean of its divisors is an integer number (2917317).

Almost surely, 2226702224 is an apocalyptic number.

226702224 is a gapful number since it is divisible by the number (24) 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 226702224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393837795).

226702224 is an abundant number, since it is smaller than the sum of its proper divisors (560973366).

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

226702224 is a wasteful number, since it uses less digits than its factorization.

226702224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 226702224 is about 15056.6338867623. The cubic root of 226702224 is about 609.7501655397.

Adding to 226702224 its reverse (422207622), we get a palindrome (648909846).

The spelling of 226702224 in words is "two hundred twenty-six million, seven hundred two thousand, two hundred twenty-four".