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228500864 = 275979383
BaseRepresentation
bin11011001111010…
…10010110000000
3120220222001020222
431213222112000
5431444011424
634401322212
75443140164
oct1547522600
9526861228
10228500864
11107a8a099
1264636368
1338455b17
14224c0ca4
15150d8e5e
hexd9ea580

228500864 has 64 divisors (see below), whose sum is σ = 470016000. Its totient is φ = 110602752.

The previous prime is 228500851. The next prime is 228500873. The reversal of 228500864 is 468005822.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 596417 + ... + 596799.

It is an arithmetic number, because the mean of its divisors is an integer number (7344000).

Almost surely, 2228500864 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 228500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

228500864 is an abundant number, since it is smaller than the sum of its proper divisors (241515136).

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

228500864 is an equidigital number, since it uses as much as digits as its factorization.

228500864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 228500864 is about 15116.2450363839. The cubic root of 228500864 is about 611.3584916498.

The spelling of 228500864 in words is "two hundred twenty-eight million, five hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 59 64 79 118 128 158 236 316 383 472 632 766 944 1264 1532 1888 2528 3064 3776 4661 5056 6128 7552 9322 10112 12256 18644 22597 24512 30257 37288 45194 49024 60514 74576 90388 121028 149152 180776 242056 298304 361552 484112 596608 723104 968224 1446208 1785163 1936448 2892416 3570326 3872896 7140652 14281304 28562608 57125216 114250432 228500864