Search a number
-
+
228253248 = 2633314261
BaseRepresentation
bin11011001101011…
…01111001000000
3120220111110121000
431212231321000
5431413100443
634352132000
75441056236
oct1546557100
9526443530
10228253248
11107930053
1264537000
133839a1c2
1422458956
151508a8d3
hexd9ade40

228253248 has 112 divisors (see below), whose sum is σ = 692830720. Its totient is φ = 73612800.

The previous prime is 228253243. The next prime is 228253283. The reversal of 228253248 is 842352822.

228253248 is a `hidden beast` number, since 2 + 2 + 82 + 532 + 48 = 666.

228253248 is digitally balanced in base 2, 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 (36).

It is not an unprimeable number, because it can be changed into a prime (228253243) 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, 51438 + ... + 55698.

Almost surely, 2228253248 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 228253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346415360).

228253248 is an abundant number, since it is smaller than the sum of its proper divisors (464577472).

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

228253248 is a wasteful number, since it uses less digits than its factorization.

228253248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4297 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 228253248 is about 15108.0524224666. The cubic root of 228253248 is about 611.1375780297.

The spelling of 228253248 in words is "two hundred twenty-eight million, two hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4261 4464 5952 6696 8522 8928 12783 13392 17044 17856 25566 26784 34088 38349 51132 53568 68176 76698 102264 115047 132091 136352 153396 204528 230094 264182 272704 306792 396273 409056 460188 528364 613584 792546 818112 920376 1056728 1188819 1227168 1585092 1840752 2113456 2377638 2454336 3170184 3566457 3681504 4226912 4755276 6340368 7132914 7363008 8453824 9510552 12680736 14265828 19021104 25361472 28531656 38042208 57063312 76084416 114126624 228253248