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226715112 = 2335138971
BaseRepresentation
bin11011000001101…
…10010111101000
3120210121022200000
431200312113220
5431014340422
634255143000
75422022001
oct1540662750
9523538600
10226715112
11106a7a468
1263b14a60
1337c7c070
14221781a8
1514d84cac
hexd8365e8

226715112 has 96 divisors (see below), whose sum is σ = 685819680. Its totient is φ = 69750720.

The previous prime is 226715063. The next prime is 226715119. The reversal of 226715112 is 211517622.

226715112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (226715119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20787 + ... + 29757.

It is an arithmetic number, because the mean of its divisors is an integer number (7143955).

Almost surely, 2226715112 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 226715112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342909840).

226715112 is an abundant number, since it is smaller than the sum of its proper divisors (459104568).

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

226715112 is a wasteful number, since it uses less digits than its factorization.

226715112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9005 (or 8989 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 226715112 is about 15057.0618647862. The cubic root of 226715112 is about 609.7617200672.

The spelling of 226715112 in words is "two hundred twenty-six million, seven hundred fifteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 6318 8424 8971 12636 17942 25272 26913 35884 53826 71768 80739 107652 116623 161478 215304 233246 242217 322956 349869 466492 484434 645912 699738 726651 932984 968868 1049607 1399476 1453302 1937736 2099214 2179953 2798952 2906604 3148821 4198428 4359906 5813208 6297642 8396856 8719812 9446463 12595284 17439624 18892926 25190568 28339389 37785852 56678778 75571704 113357556 226715112