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228653152 = 25713233337
BaseRepresentation
bin11011010000011…
…11100001100000
3120221020210011021
431220033201200
5432013400102
634404455224
75444343160
oct1550174140
9527223137
10228653152
11108083552
12646aa514
13384aa230
14225205a0
1515119137
hexda0f860

228653152 has 96 divisors (see below), whose sum is σ = 558073152. Its totient is φ = 89800704.

The previous prime is 228653147. The next prime is 228653177. The reversal of 228653152 is 251356822.

228653152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (28800) is a multiple of the sum of its prime factors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678328 + ... + 678664.

It is an arithmetic number, because the mean of its divisors is an integer number (5813262).

Almost surely, 2228653152 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 228653152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279036576).

228653152 is an abundant number, since it is smaller than the sum of its proper divisors (329420000).

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

228653152 is a wasteful number, since it uses less digits than its factorization.

228653152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 228653152 is about 15121.2814271807. The cubic root of 228653152 is about 611.4942779875.

The spelling of 228653152 in words is "two hundred twenty-eight million, six hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 233 337 364 416 466 674 728 932 1348 1456 1631 1864 2359 2696 2912 3029 3262 3728 4381 4718 5392 6058 6524 7456 8762 9436 10784 12116 13048 17524 18872 21203 24232 26096 30667 35048 37744 42406 48464 52192 61334 70096 75488 78521 84812 96928 122668 140192 157042 169624 245336 314084 339248 490672 549647 628168 678496 981344 1020773 1099294 1256336 2041546 2198588 2512672 4083092 4397176 7145411 8166184 8794352 14290822 16332368 17588704 28581644 32664736 57163288 114326576 228653152