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2280485280 = 25354751011
BaseRepresentation
bin1000011111101101…
…0111000110100000
312212221010122200210
42013323113012200
514132301012110
61014142414120
7110340543063
oct20773270640
95787118623
102280485280
11a70302387
12537891340
132a4601898
14178c2c8da
15d5319520
hex87ed71a0

2280485280 has 48 divisors (see below), whose sum is σ = 7183530144. Its totient is φ = 608129280.

The previous prime is 2280485243. The next prime is 2280485293. The reversal of 2280485280 is 825840822.

2280485280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22804852802 = 10401226224593356800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2375026 + ... + 2375985.

It is an arithmetic number, because the mean of its divisors is an integer number (149656878).

Almost surely, 22280485280 is an apocalyptic number.

2280485280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2280485280 is an abundant number, since it is smaller than the sum of its proper divisors (4903044864).

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

2280485280 is a wasteful number, since it uses less digits than its factorization.

2280485280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751029 (or 4751021 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 2280485280 is about 47754.4268105063. The cubic root of 2280485280 is about 1316.2622451420.

The spelling of 2280485280 in words is "two billion, two hundred eighty million, four hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4751011 9502022 14253033 19004044 23755055 28506066 38008088 47510110 57012132 71265165 76016176 95020220 114024264 142530330 152032352 190040440 228048528 285060660 380080880 456097056 570121320 760161760 1140242640 2280485280