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2248308 = 2232192173
BaseRepresentation
bin1000100100111001110100
311020020002200
420210321310
51033421213
6120104500
725052556
oct10447164
94206080
102248308
1112a6207
12905130
1360947a
144274d6
152e6273
hex224e74

2248308 has 54 divisors (see below), whose sum is σ = 6032754. Its totient is φ = 705888.

The previous prime is 2248303. The next prime is 2248331. The reversal of 2248308 is 8038422.

It can be written as a sum of positive squares in only one way, i.e., 2196324 + 51984 = 1482^2 + 228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12910 + ... + 13082.

22248308 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 2248308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016377).

2248308 is an abundant number, since it is smaller than the sum of its proper divisors (3784446).

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

2248308 is a wasteful number, since it uses less digits than its factorization.

2248308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2248308 is about 1499.4358939281. The cubic root of 2248308 is about 131.0042148480.

It can be divided in two parts, 2248 and 308, that added together give a triangular number (2556 = T71).

The spelling of 2248308 in words is "two million, two hundred forty-eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 173 228 342 346 361 519 684 692 722 1038 1083 1444 1557 2076 2166 3114 3249 3287 4332 6228 6498 6574 9861 12996 13148 19722 29583 39444 59166 62453 118332 124906 187359 249812 374718 562077 749436 1124154 2248308