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226103064 = 233112321619
BaseRepresentation
bin11010111101000…
…00111100011000
3120202110020002120
431132200330120
5430340244224
634234101240
75413562415
oct1536407430
9522406076
10226103064
111066a1640
126387a820
1337ac65c5
142205910c
1514cb3779
hexd7a0f18

226103064 has 96 divisors (see below), whose sum is σ = 645019200. Its totient is φ = 65496640.

The previous prime is 226103063. The next prime is 226103071. The reversal of 226103064 is 460301622.

226103064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261030642 = 102245191100376192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226103063) 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, 138847 + ... + 140465.

It is an arithmetic number, because the mean of its divisors is an integer number (6718950).

Almost surely, 2226103064 is an apocalyptic number.

226103064 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 226103064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322509600).

226103064 is an abundant number, since it is smaller than the sum of its proper divisors (418916136).

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

226103064 is a wasteful number, since it uses less digits than its factorization.

226103064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 226103064 is about 15036.7238453062. The cubic root of 226103064 is about 609.2125142376.

Adding to 226103064 its reverse (460301622), we get a palindrome (686404686).

The spelling of 226103064 in words is "two hundred twenty-six million, one hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 529 552 759 1012 1058 1518 1587 1619 2024 2116 3036 3174 3238 4232 4857 5819 6072 6348 6476 9714 11638 12696 12952 17457 17809 19428 23276 34914 35618 37237 38856 46552 53427 69828 71236 74474 106854 111711 139656 142472 148948 213708 223422 297896 409607 427416 446844 819214 856451 893688 1228821 1638428 1712902 2457642 2569353 3276856 3425804 4915284 5138706 6851608 9420961 9830568 10277412 18841922 20554824 28262883 37683844 56525766 75367688 113051532 226103064