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226190160 = 24325744879
BaseRepresentation
bin11010111101101…
…10001101010000
3120202121122120100
431132312031100
5430401041120
634240012400
75414404350
oct1536661520
9522548510
10226190160
11106751019
1263901100
1337b27141
142207cb60
1514cce490
hexd7b6350

226190160 has 120 divisors (see below), whose sum is σ = 868158720. Its totient is φ = 51699456.

The previous prime is 226190149. The next prime is 226190161. The reversal of 226190160 is 61091622.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226190161) 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, 17400 + ... + 27479.

It is an arithmetic number, because the mean of its divisors is an integer number (7234656).

Almost surely, 2226190160 is an apocalyptic number.

226190160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226190160 is an abundant number, since it is smaller than the sum of its proper divisors (641968560).

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

226190160 is a wasteful number, since it uses less digits than its factorization.

226190160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44905 (or 44896 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 226190160 is about 15039.6196760423. The cubic root of 226190160 is about 609.2907280702.

The spelling of 226190160 in words is "two hundred twenty-six million, one hundred ninety thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 44879 89758 134637 179516 224395 269274 314153 359032 403911 448790 538548 628306 673185 718064 807822 897580 942459 1077096 1256612 1346370 1570765 1615644 1795160 1884918 2019555 2154192 2513224 2692740 2827377 3141530 3231288 3590320 3769836 4039110 4712295 5026448 5385480 5654754 6283060 6462576 7539672 8078220 9424590 10770960 11309508 12566120 14136885 15079344 16156440 18849180 22619016 25132240 28273770 32312880 37698360 45238032 56547540 75396720 113095080 226190160