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228304720 = 24572139419
BaseRepresentation
bin11011001101110…
…10011101010000
3120220121002012101
431212322131100
5431421222340
634353210144
75441362300
oct1546723520
9526532171
10228304720
11107965796
1264560954
13383b7767
142246d600
151509ac9a
hexd9ba750

228304720 has 120 divisors (see below), whose sum is σ = 623397600. Its totient is φ = 77527296.

The previous prime is 228304717. The next prime is 228304787. The reversal of 228304720 is 27403822.

228304720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544671 + ... + 545089.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2228304720 is an apocalyptic number.

228304720 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 228304720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311698800).

228304720 is an abundant number, since it is smaller than the sum of its proper divisors (395092880).

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

228304720 is a wasteful number, since it uses less digits than its factorization.

228304720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 228304720 is about 15109.7557888935. The cubic root of 228304720 is about 611.1835125483.

The spelling of 228304720 in words is "two hundred twenty-eight million, three hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 139 140 196 245 278 280 392 419 490 556 560 695 784 838 973 980 1112 1390 1676 1946 1960 2095 2224 2780 2933 3352 3892 3920 4190 4865 5560 5866 6704 6811 7784 8380 9730 11120 11732 13622 14665 15568 16760 19460 20531 23464 27244 29330 33520 34055 38920 41062 46928 54488 58241 58660 68110 77840 82124 102655 108976 116482 117320 136220 164248 205310 232964 234640 272440 291205 328496 407687 410620 465928 544880 582410 815374 821240 931856 1164820 1630748 1642480 2038435 2329640 2853809 3261496 4076870 4659280 5707618 6522992 8153740 11415236 14269045 16307480 22830472 28538090 32614960 45660944 57076180 114152360 228304720