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2290289176 = 237314313061
BaseRepresentation
bin1000100010000011…
…0000101000011000
312220121120202010001
42020200300220120
514142303223201
61015132502344
7110520064630
oct21040605030
95817522101
102290289176
11a7589917a
1253b01a9b4
132a66550c6
1417a2616c0
15d6104301
hex88830a18

2290289176 has 64 divisors (see below), whose sum is σ = 5079490560. Its totient is φ = 947376000.

The previous prime is 2290289173. The next prime is 2290289201. The reversal of 2290289176 is 6719820922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290289173) 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, 746686 + ... + 749746.

It is an arithmetic number, because the mean of its divisors is an integer number (79367040).

Almost surely, 22290289176 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 2290289176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539745280).

2290289176 is an abundant number, since it is smaller than the sum of its proper divisors (2789201384).

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

2290289176 is a wasteful number, since it uses less digits than its factorization.

2290289176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 2290289176 is about 47856.9658043633. The cubic root of 2290289176 is about 1318.1457696705.

It can be divided in two parts, 2290 and 289176, that added together give a triangular number (291466 = T763).

The spelling of 2290289176 in words is "two billion, two hundred ninety million, two hundred eighty-nine thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 431 434 862 868 1724 1736 3017 3061 3448 6034 6122 12068 12244 13361 21427 24136 24488 26722 42854 53444 85708 93527 94891 106888 171416 187054 189782 374108 379564 664237 748216 759128 1319291 1328474 2638582 2656948 5277164 5313896 9235037 10554328 18470074 36940148 40898021 73880296 81796042 163592084 286286147 327184168 572572294 1145144588 2290289176