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228573216 = 25322233559
BaseRepresentation
bin11011001111111…
…00000000100000
3120221002201111200
431213330000200
5432003320331
634403041200
75443561134
oct1547740040
9527081450
10228573216
11108029493
1264670200
133847ca31
14224dd3c4
15151005e6
hexd9fc020

228573216 has 72 divisors (see below), whose sum is σ = 653103360. Its totient is φ = 75828096.

The previous prime is 228573197. The next prime is 228573227. The reversal of 228573216 is 612375822.

228573216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 62445 + ... + 66003.

It is an arithmetic number, because the mean of its divisors is an integer number (9070880).

Almost surely, 2228573216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228573216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326551680).

228573216 is an abundant number, since it is smaller than the sum of its proper divisors (424530144).

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

228573216 is a wasteful number, since it uses less digits than its factorization.

228573216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3787 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 228573216 is about 15118.6380338971. The cubic root of 228573216 is about 611.4230112334.

The spelling of 228573216 in words is "two hundred twenty-eight million, five hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 223 288 446 669 892 1338 1784 2007 2676 3559 3568 4014 5352 7118 7136 8028 10677 10704 14236 16056 21354 21408 28472 32031 32112 42708 56944 64062 64224 85416 113888 128124 170832 256248 341664 512496 793657 1024992 1587314 2380971 3174628 4761942 6349256 7142913 9523884 12698512 14285826 19047768 25397024 28571652 38095536 57143304 76191072 114286608 228573216