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226089280 = 2651514679
BaseRepresentation
bin11010111100111…
…01100101000000
3120202102112012001
431132131211000
5430334324110
634233513344
75413504264
oct1536354500
9522375161
10226089280
1110669224a
1263872854
1337ac0251
14220540a4
1514cae63a
hexd79d940

226089280 has 56 divisors (see below), whose sum is σ = 542056320. Its totient is φ = 89817600.

The previous prime is 226089251. The next prime is 226089299. The reversal of 226089280 is 82980622.

226089280 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260892802 = 102232725061836800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45981 + ... + 50659.

Almost surely, 2226089280 is an apocalyptic number.

226089280 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 226089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271028160).

226089280 is an abundant number, since it is smaller than the sum of its proper divisors (315967040).

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

226089280 is a wasteful number, since it uses less digits than its factorization.

226089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 226089280 is about 15036.2654937987. The cubic root of 226089280 is about 609.2001341077.

The spelling of 226089280 in words is "two hundred twenty-six million, eighty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 151 160 302 320 604 755 1208 1510 2416 3020 4679 4832 6040 9358 9664 12080 18716 23395 24160 37432 46790 48320 74864 93580 149728 187160 299456 374320 706529 748640 1413058 1497280 2826116 3532645 5652232 7065290 11304464 14130580 22608928 28261160 45217856 56522320 113044640 226089280