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226252288 = 292319213
BaseRepresentation
bin11010111110001…
…01011000000000
3120202201210210101
431133011120000
5430410033123
634241212144
75415053443
oct1537053000
9522653711
10226252288
11106793769
1263931054
1337b494c2
142209765a
1514ce2aad
hexd7c5600

226252288 has 40 divisors (see below), whose sum is σ = 471742128. Its totient is φ = 108201984.

The previous prime is 226252267. The next prime is 226252289. The reversal of 226252288 is 882252622.

226252288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226252289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2170 + ... + 21382.

Almost surely, 2226252288 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 226252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235871064).

226252288 is an abundant number, since it is smaller than the sum of its proper divisors (245489840).

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

226252288 is an equidigital number, since it uses as much as digits as its factorization.

226252288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19254 (or 19238 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 226252288 is about 15041.6850119925. The cubic root of 226252288 is about 609.3465079047.

The spelling of 226252288 in words is "two hundred twenty-six million, two hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 2944 5888 11776 19213 38426 76852 153704 307408 441899 614816 883798 1229632 1767596 2459264 3535192 4918528 7070384 9837056 14140768 28281536 56563072 113126144 226252288