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228674688 = 27311431259
BaseRepresentation
bin11011010000101…
…00110010000000
3120221021212200220
431220110302000
5432020042223
634405143040
75444463024
oct1550246200
9527255626
10228674688
11108098750
12646baa80
13384b6c88
1422528384
15151206e3
hexda14c80

228674688 has 128 divisors (see below), whose sum is σ = 678585600. Its totient is φ = 67630080.

The previous prime is 228674683. The next prime is 228674707. The reversal of 228674688 is 886476822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2286746882 = 104584225863794688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228674688.

It is not an unprimeable number, because it can be changed into a prime (228674683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181003 + ... + 182261.

It is an arithmetic number, because the mean of its divisors is an integer number (5301450).

Almost surely, 2228674688 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 228674688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339292800).

228674688 is an abundant number, since it is smaller than the sum of its proper divisors (449910912).

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

228674688 is a wasteful number, since it uses less digits than its factorization.

228674688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1318 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 228674688 is about 15121.9935193744. The cubic root of 228674688 is about 611.5134755176.

The spelling of 228674688 in words is "two hundred twenty-eight million, six hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 258 264 344 352 384 473 516 528 688 704 946 1032 1056 1259 1376 1408 1419 1892 2064 2112 2518 2752 2838 3777 3784 4128 4224 5036 5504 5676 7554 7568 8256 10072 11352 13849 15108 15136 16512 20144 22704 27698 30216 30272 40288 41547 45408 54137 55396 60432 60544 80576 83094 90816 108274 110792 120864 161152 162411 166188 181632 216548 221584 241728 324822 332376 433096 443168 483456 595507 649644 664752 866192 886336 1191014 1299288 1329504 1732384 1772672 1786521 2382028 2598576 2659008 3464768 3573042 4764056 5197152 5318016 6929536 7146084 9528112 10394304 14292168 19056224 20788608 28584336 38112448 57168672 76224896 114337344 228674688