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228526308 = 2232173131193
BaseRepresentation
bin11011001111100…
…00100011100100
3120221000100011100
431213300203210
5432000320213
634402040100
75443304313
oct1547604344
9527010140
10228526308
11107aa721a
1264649030
133846458a
14224ca27a
15150e1773
hexd9f08e4

228526308 has 72 divisors (see below), whose sum is σ = 614112408. Its totient is φ = 71405568.

The previous prime is 228526297. The next prime is 228526373. The reversal of 228526308 is 803625822.

228526308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8538084 + 219988224 = 2922^2 + 14832^2 .

It is a super-2 number, since 2×2285263082 = 104448546896221728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190960 + ... + 192152.

It is an arithmetic number, because the mean of its divisors is an integer number (8529339).

Almost surely, 2228526308 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 228526308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307056204).

228526308 is an abundant number, since it is smaller than the sum of its proper divisors (385586100).

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

228526308 is a wasteful number, since it uses less digits than its factorization.

228526308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 228526308 is about 15117.0866240820. The cubic root of 228526308 is about 611.3811827794.

The spelling of 228526308 in words is "two hundred twenty-eight million, five hundred twenty-six thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 313 612 626 939 1193 1252 1878 2386 2817 3579 3756 4772 5321 5634 7158 10642 10737 11268 14316 15963 20281 21284 21474 31926 40562 42948 47889 60843 63852 81124 95778 121686 182529 191556 243372 365058 373409 730116 746818 1120227 1493636 2240454 3360681 4480908 6347953 6721362 12695906 13442724 19043859 25391812 38087718 57131577 76175436 114263154 228526308