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2268001530 = 2325113223009
BaseRepresentation
bin1000011100101110…
…1111010011111010
312212001122102012200
42013023233103322
514121102022110
61013015051030
7110126460234
oct20713572372
95761572180
102268001530
11a64256133
12533670a76
132a1b50652
141772dd254
15d41a06c0
hex872ef4fa

2268001530 has 48 divisors (see below), whose sum is σ = 5949014760. Its totient is φ = 599445504.

The previous prime is 2268001499. The next prime is 2268001553. The reversal of 2268001530 is 351008622.

It can be written as a sum of positive squares in 4 ways, for example, as 1875842721 + 392158809 = 43311^2 + 19803^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2268001494 and 2268001503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101335 + ... + 121674.

Almost surely, 22268001530 is an apocalyptic number.

2268001530 is an abundant number, since it is smaller than the sum of its proper divisors (3681013230).

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

2268001530 is a wasteful number, since it uses less digits than its factorization.

2268001530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223135 (or 223132 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2268001530 is about 47623.5396626500. The cubic root of 2268001530 is about 1313.8560374101.

The spelling of 2268001530 in words is "two billion, two hundred sixty-eight million, one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 223009 446018 669027 1115045 1338054 2007081 2230090 3345135 4014162 6690270 10035405 20070810 25200017 50400034 75600051 126000085 151200102 226800153 252000170 378000255 453600306 756000510 1134000765 2268001530