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228162304 = 2817103509
BaseRepresentation
bin11011001100101…
…11101100000000
3120220022211211201
431212113230000
5431402143204
634350150544
75440230136
oct1546275400
9526284751
10228162304
11107878797
12644b2454
13383679a6
1422433756
151506d9a4
hexd997b00

228162304 has 72 divisors (see below), whose sum is σ = 487861920. Its totient is φ = 106119168.

The previous prime is 228162293. The next prime is 228162329. The reversal of 228162304 is 403261822.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 448002 + ... + 448510.

It is an arithmetic number, because the mean of its divisors is an integer number (6775860).

Almost surely, 2228162304 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 228162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243930960).

228162304 is an abundant number, since it is smaller than the sum of its proper divisors (259699616).

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

228162304 is a wasteful number, since it uses less digits than its factorization.

228162304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 228162304 is about 15105.0423369152. The cubic root of 228162304 is about 611.0564011212.

The spelling of 228162304 in words is "two hundred twenty-eight million, one hundred sixty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 128 136 206 256 272 412 509 544 824 1018 1088 1648 1751 2036 2176 3296 3502 4072 4352 6592 7004 8144 8653 13184 14008 16288 17306 26368 28016 32576 34612 52427 56032 65152 69224 104854 112064 130304 138448 209708 224128 276896 419416 448256 553792 838832 891259 1107584 1677664 1782518 2215168 3355328 3565036 6710656 7130072 13421312 14260144 28520288 57040576 114081152 228162304