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2268872235 = 33572342989
BaseRepresentation
bin1000011100111100…
…0011111000101011
312212010021122121000
42013033003320223
514121312402420
61013045450043
7110140044600
oct20717037053
95763248530
102268872235
11a647a0323
12533a10923
132a2096a66
141774886a7
15d42c3690
hex873c3e2b

2268872235 has 48 divisors (see below), whose sum is σ = 4692103200. Its totient is φ = 1037195712.

The previous prime is 2268872183. The next prime is 2268872261. The reversal of 2268872235 is 5322788622.

It is a happy number.

It is not a de Polignac number, because 2268872235 - 210 = 2268871211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 164880 + ... + 178109.

It is an arithmetic number, because the mean of its divisors is an integer number (97752150).

Almost surely, 22268872235 is an apocalyptic number.

2268872235 is an abundant number, since it is smaller than the sum of its proper divisors (2423230965).

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

2268872235 is a wasteful number, since it uses less digits than its factorization.

2268872235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343017 (or 343004 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2268872235 is about 47632.6803255916. The cubic root of 2268872235 is about 1314.0241493862.

It can be divided in two parts, 2268 and 872235, that added together give a triangular number (874503 = T1322).

The spelling of 2268872235 in words is "two billion, two hundred sixty-eight million, eight hundred seventy-two thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 342989 1028967 1714945 2400923 3086901 5144835 7202769 9260703 12004615 15434505 16806461 21608307 36013845 46303515 50419383 64824921 84032305 108041535 151258149 252096915 324124605 453774447 756290745 2268872235