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2268232440 = 233540147137
BaseRepresentation
bin1000011100110010…
…0111101011111000
312212002002010221220
42013030213223320
514121131414230
61013024032040
7110131441365
oct20714475370
95762063856
102268232440
11a643a3671
12533762620
132a1c01796
1417735d46c
15d41e8d10
hex87327af8

2268232440 has 64 divisors (see below), whose sum is σ = 6821811360. Its totient is φ = 603340800.

The previous prime is 2268232411. The next prime is 2268232481. The reversal of 2268232440 is 442328622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24552 + ... + 71688.

Almost surely, 22268232440 is an apocalyptic number.

2268232440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2268232440 is an abundant number, since it is smaller than the sum of its proper divisors (4553578920).

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

2268232440 is a wasteful number, since it uses less digits than its factorization.

2268232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47552 (or 47548 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2268232440 is about 47625.9639272530. The cubic root of 2268232440 is about 1313.9006247113.

The spelling of 2268232440 in words is "two billion, two hundred sixty-eight million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 401 802 1203 1604 2005 2406 3208 4010 4812 6015 8020 9624 12030 16040 24060 47137 48120 94274 141411 188548 235685 282822 377096 471370 565644 707055 942740 1131288 1414110 1885480 2828220 5656440 18901937 37803874 56705811 75607748 94509685 113411622 151215496 189019370 226823244 283529055 378038740 453646488 567058110 756077480 1134116220 2268232440