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226978800 = 24352189149
BaseRepresentation
bin11011000011101…
…10101111110000
3120211002201101020
431201312233300
5431101310200
634304535440
75424200526
oct1541665760
9524081336
10226978800
1110713a594
1264021580
13380420a9
1422206316
1514dd7ea0
hexd876bf0

226978800 has 60 divisors (see below), whose sum is σ = 727092600. Its totient is φ = 60527360.

The previous prime is 226978783. The next prime is 226978813. The reversal of 226978800 is 8879622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93375 + ... + 95774.

It is an arithmetic number, because the mean of its divisors is an integer number (12118210).

Almost surely, 2226978800 is an apocalyptic number.

226978800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226978800 is an abundant number, since it is smaller than the sum of its proper divisors (500113800).

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

226978800 is a wasteful number, since it uses less digits than its factorization.

226978800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189170 (or 189159 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 226978800 is about 15065.8156101819. The cubic root of 226978800 is about 609.9980291973.

The spelling of 226978800 in words is "two hundred twenty-six million, nine hundred seventy-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 189149 378298 567447 756596 945745 1134894 1513192 1891490 2269788 2837235 3026384 3782980 4539576 4728725 5674470 7565960 9079152 9457450 11348940 14186175 15131920 18914900 22697880 28372350 37829800 45395760 56744700 75659600 113489400 226978800