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228587248 = 24232113239
BaseRepresentation
bin11011001111111…
…11011011110000
3120221010102202101
431213333123300
5432004242443
634403230144
75443650061
oct1547773360
9527112671
10228587248
11108038a8a
1264678354
1338486236
1422504568
151510484d
hexd9ff6f0

228587248 has 60 divisors (see below), whose sum is σ = 469032480. Its totient is φ = 107903488.

The previous prime is 228587231. The next prime is 228587257. The reversal of 228587248 is 842785822.

228587248 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 (46).

It is a junction number, because it is equal to n+sod(n) for n = 228587198 and 228587207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 956313 + ... + 956551.

It is an arithmetic number, because the mean of its divisors is an integer number (7817208).

Almost surely, 2228587248 is an apocalyptic number.

228587248 is the 8082-nd centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228587248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234516240).

228587248 is an abundant number, since it is smaller than the sum of its proper divisors (240445232).

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

228587248 is a wasteful number, since it uses less digits than its factorization.

228587248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 377 counting only the distinct ones).

The product of its digits is 573440, while the sum is 46.

The square root of 228587248 is about 15119.1020897406. The cubic root of 228587248 is about 611.4355226325.

The spelling of 228587248 in words is "two hundred twenty-eight million, five hundred eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 46 92 113 184 226 239 368 452 478 529 904 956 1058 1808 1912 2116 2599 3824 4232 5198 5497 8464 10396 10994 20792 21988 27007 41584 43976 54014 59777 87952 108028 119554 126431 216056 239108 252862 432112 478216 505724 621161 956432 1011448 1242322 2022896 2484644 4969288 9938576 14286703 28573406 57146812 114293624 228587248