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226804224 = 293149991
BaseRepresentation
bin11011000010011…
…00001000000000
3120210202211220110
431201030020000
5431030213344
634301111320
75422542543
oct1541141000
9523684813
10226804224
11107030409
1263b58540
1337cb07aa
142219c85a
1514da13b9
hexd84c200

226804224 has 80 divisors (see below), whose sum is σ = 608889600. Its totient is φ = 75018240.

The previous prime is 226804217. The next prime is 226804229. The reversal of 226804224 is 422408622.

It is a junction number, because it is equal to n+sod(n) for n = 226804191 and 226804200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226804229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228369 + ... + 229359.

It is an arithmetic number, because the mean of its divisors is an integer number (7611120).

Almost surely, 2226804224 is an apocalyptic number.

226804224 is a gapful number since it is divisible by the number (24) 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 226804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304444800).

226804224 is an abundant number, since it is smaller than the sum of its proper divisors (382085376).

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

226804224 is an equidigital number, since it uses as much as digits as its factorization.

226804224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 226804224 is about 15060.0207171172. The cubic root of 226804224 is about 609.8416000074.

The spelling of 226804224 in words is "two hundred twenty-six million, eight hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 512 596 768 894 991 1192 1536 1788 1982 2384 2973 3576 3964 4768 5946 7152 7928 9536 11892 14304 15856 19072 23784 28608 31712 38144 47568 57216 63424 76288 95136 114432 126848 147659 190272 228864 253696 295318 380544 442977 507392 590636 761088 885954 1181272 1522176 1771908 2362544 3543816 4725088 7087632 9450176 14175264 18900352 28350528 37800704 56701056 75601408 113402112 226804224