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2214889440 = 25354614353
BaseRepresentation
bin1000010000000100…
…1000011111100000
312201100201001010020
42010001020133200
514014002430230
61003440433440
7105613151421
oct20401103740
95640631106
102214889440
11a3727a245
12519918880
13293b4588a
14170235648
15ce6ad810
hex840487e0

2214889440 has 48 divisors (see below), whose sum is σ = 6976903248. Its totient is φ = 590637056.

The previous prime is 2214889403. The next prime is 2214889447. The reversal of 2214889440 is 449884122.

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

It is a junction number, because it is equal to n+sod(n) for n = 2214889392 and 2214889401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214889447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2306697 + ... + 2307656.

It is an arithmetic number, because the mean of its divisors is an integer number (145352151).

Almost surely, 22214889440 is an apocalyptic number.

2214889440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214889440 is an abundant number, since it is smaller than the sum of its proper divisors (4762013808).

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

2214889440 is a wasteful number, since it uses less digits than its factorization.

2214889440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614371 (or 4614363 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2214889440 is about 47062.6119122175. The cubic root of 2214889440 is about 1303.5189551377.

The spelling of 2214889440 in words is "two billion, two hundred fourteen million, eight hundred eighty-nine thousand, four hundred forty".

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 4614353 9228706 13843059 18457412 23071765 27686118 36914824 46143530 55372236 69215295 73829648 92287060 110744472 138430590 147659296 184574120 221488944 276861180 369148240 442977888 553722360 738296480 1107444720 2214889440