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226350080 = 2105114019
BaseRepresentation
bin11010111110111…
…01010000000000
3120202220202221022
431133131100000
5430421200310
634243245012
75415641525
oct1537352000
9522822838
10226350080
11106850190
1263979768
1337b81b78
14220c114c
1514d11a55
hexd7dd400

226350080 has 88 divisors (see below), whose sum is σ = 592483680. Its totient is φ = 82288640.

The previous prime is 226350079. The next prime is 226350083. The reversal of 226350080 is 80053622.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226350083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54311 + ... + 58329.

Almost surely, 2226350080 is an apocalyptic number.

226350080 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 226350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296241840).

226350080 is an abundant number, since it is smaller than the sum of its proper divisors (366133600).

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

226350080 is a wasteful number, since it uses less digits than its factorization.

226350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 226350080 is about 15044.9353604461. The cubic root of 226350080 is about 609.4342869514.

The spelling of 226350080 in words is "two hundred twenty-six million, three hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 4019 5120 5632 7040 8038 11264 14080 16076 20095 28160 32152 40190 44209 56320 64304 80380 88418 128608 160760 176836 221045 257216 321520 353672 442090 514432 643040 707344 884180 1028864 1286080 1414688 1768360 2057728 2572160 2829376 3536720 4115456 5144320 5658752 7073440 10288640 11317504 14146880 20577280 22635008 28293760 45270016 56587520 113175040 226350080