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226931300 = 2252171311019
BaseRepresentation
bin11011000011010…
…11001001100100
3120211000022012222
431201223021210
5431043300200
634303531512
75423612201
oct1541531144
9524008188
10226931300
11107107932
1263bb9b98
133802659b
14221d2ca8
1514dc8d85
hexd86b264

226931300 has 72 divisors (see below), whose sum is σ = 525903840. Its totient is φ = 84697600.

The previous prime is 226931291. The next prime is 226931303. The reversal of 226931300 is 3139622.

It is a self number, because there is not a number n which added to its sum of digits gives 226931300.

It is not an unprimeable number, because it can be changed into a prime (226931303) 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 23 ways as a sum of consecutive naturals, for example, 222191 + ... + 223209.

It is an arithmetic number, because the mean of its divisors is an integer number (7304220).

Almost surely, 2226931300 is an apocalyptic number.

226931300 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 226931300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262951920).

226931300 is an abundant number, since it is smaller than the sum of its proper divisors (298972540).

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

226931300 is a wasteful number, since it uses less digits than its factorization.

226931300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 226931300 is about 15064.2391112197. The cubic root of 226931300 is about 609.9554746682.

The spelling of 226931300 in words is "two hundred twenty-six million, nine hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 131 170 262 340 425 524 655 850 1019 1310 1700 2038 2227 2620 3275 4076 4454 5095 6550 8908 10190 11135 13100 17323 20380 22270 25475 34646 44540 50950 55675 69292 86615 101900 111350 133489 173230 222700 266978 346460 433075 533956 667445 866150 1334890 1732300 2269313 2669780 3337225 4538626 6674450 9077252 11346565 13348900 22693130 45386260 56732825 113465650 226931300