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226264280 = 235114311959
BaseRepresentation
bin11010111110010…
…00010011011000
3120202202102020112
431133020103120
5430410424110
634241343452
75415133424
oct1537102330
9522672215
10226264280
111067a1780
1263937b88
1337b51ab8
142209bb84
1514ce6405
hexd7c84d8

226264280 has 64 divisors (see below), whose sum is σ = 568339200. Its totient is φ = 80357760.

The previous prime is 226264279. The next prime is 226264321. The reversal of 226264280 is 82462622.

226264280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12941 + ... + 24899.

It is an arithmetic number, because the mean of its divisors is an integer number (8880300).

Almost surely, 2226264280 is an apocalyptic number.

226264280 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 226264280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284169600).

226264280 is an abundant number, since it is smaller than the sum of its proper divisors (342074920).

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

226264280 is a wasteful number, since it uses less digits than its factorization.

226264280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12024 (or 12020 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 226264280 is about 15042.0836322632. The cubic root of 226264280 is about 609.3572734006.

The spelling of 226264280 in words is "two hundred twenty-six million, two hundred sixty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 11959 18920 23918 47836 59795 95672 119590 131549 239180 263098 478360 514237 526196 657745 1028474 1052392 1315490 2056948 2571185 2630980 4113896 5142370 5261960 5656607 10284740 11313214 20569480 22626428 28283035 45252856 56566070 113132140 226264280