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2214460104 = 233475119421
BaseRepresentation
bin1000001111111101…
…1111101011001000
312201022220020011220
42003333133223020
514013400210404
61003423322040
7105606412623
oct20377375310
95638806156
102214460104
11a3700671a
12519750320
13293a2532c
14170162dba
15ce6264d9
hex83fdfac8

2214460104 has 32 divisors (see below), whose sum is σ = 5537600640. Its totient is φ = 737960000.

The previous prime is 2214460093. The next prime is 2214460111. The reversal of 2214460104 is 4010644122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 104314 + ... + 123734.

It is an arithmetic number, because the mean of its divisors is an integer number (173050020).

Almost surely, 22214460104 is an apocalyptic number.

2214460104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2214460104 is an abundant number, since it is smaller than the sum of its proper divisors (3323140536).

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

2214460104 is a wasteful number, since it uses less digits than its factorization.

2214460104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24181 (or 24177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2214460104 is about 47058.0503633544. The cubic root of 2214460104 is about 1303.4347246311.

The spelling of 2214460104 in words is "two billion, two hundred fourteen million, four hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 4751 9502 14253 19004 19421 28506 38008 38842 57012 58263 77684 114024 116526 155368 233052 466104 92269171 184538342 276807513 369076684 553615026 738153368 1107230052 2214460104