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228232512 = 2633269491
BaseRepresentation
bin11011001101010…
…00110101000000
3120220110102011000
431212220311000
5431411420022
634351452000
75440641624
oct1546506500
9526412130
10228232512
11107916512
1264527000
1338390931
1422451184
15150846ac
hexd9a8d40

228232512 has 112 divisors (see below), whose sum is σ = 674827200. Its totient is φ = 75640320.

The previous prime is 228232507. The next prime is 228232513. The reversal of 228232512 is 215232822.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228232513) 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, 464587 + ... + 465077.

Almost surely, 2228232512 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 228232512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337413600).

228232512 is an abundant number, since it is smaller than the sum of its proper divisors (446594688).

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

228232512 is a wasteful number, since it uses less digits than its factorization.

228232512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 765 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 228232512 is about 15107.3661503255. The cubic root of 228232512 is about 611.1190709070.

The spelling of 228232512 in words is "two hundred twenty-eight million, two hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 269 288 432 491 538 576 807 864 982 1076 1473 1614 1728 1964 2152 2421 2946 3228 3928 4304 4419 4842 5892 6456 7263 7856 8608 8838 9684 11784 12912 13257 14526 15712 17216 17676 19368 23568 25824 26514 29052 31424 35352 38736 47136 51648 53028 58104 70704 77472 94272 106056 116208 132079 141408 154944 212112 232416 264158 282816 396237 424224 464832 528316 792474 848448 1056632 1188711 1584948 2113264 2377422 3169896 3566133 4226528 4754844 6339792 7132266 8453056 9509688 12679584 14264532 19019376 25359168 28529064 38038752 57058128 76077504 114116256 228232512