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226255200 = 2535294273
BaseRepresentation
bin11010111110001…
…10000101100000
3120202201221210020
431133012011200
5430410131300
634241233440
75415065103
oct1537060540
9522657706
10226255200
11106795976
1263932880
1337b4a922
142209873a
1514ce38a0
hexd7c6160

226255200 has 72 divisors (see below), whose sum is σ = 736468488. Its totient is φ = 60334080.

The previous prime is 226255151. The next prime is 226255219. The reversal of 226255200 is 2552622.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 44737 + ... + 49536.

It is an arithmetic number, because the mean of its divisors is an integer number (10228729).

Almost surely, 2226255200 is an apocalyptic number.

226255200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226255200 is an abundant number, since it is smaller than the sum of its proper divisors (510213288).

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

226255200 is a wasteful number, since it uses less digits than its factorization.

226255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94296 (or 94283 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 226255200 is about 15041.7818093469. The cubic root of 226255200 is about 609.3491221095.

The spelling of 226255200 in words is "two hundred twenty-six million, two hundred fifty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 94273 188546 282819 377092 471365 565638 754184 942730 1131276 1414095 1508368 1885460 2262552 2356825 2828190 3016736 3770920 4525104 4713650 5656380 7070475 7541840 9050208 9427300 11312760 14140950 15083680 18854600 22625520 28281900 37709200 45251040 56563800 75418400 113127600 226255200