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2214583680 = 27351153429
BaseRepresentation
bin1000001111111111…
…1101110110000000
312201100010111200210
42003333331312000
514013413134210
61003430114120
7105610436121
oct20377756600
95640114623
102214583680
11a37090551
125197ab940
13293a6965a
14170196048
15ce64ce20
hex83ffdd80

2214583680 has 64 divisors (see below), whose sum is σ = 7058991600. Its totient is φ = 590555136.

The previous prime is 2214583669. The next prime is 2214583691. The reversal of 2214583680 is 863854122.

It is an interprime number because it is at equal distance from previous prime (2214583669) and next prime (2214583691).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 574795 + ... + 578634.

Almost surely, 22214583680 is an apocalyptic number.

2214583680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214583680 is an abundant number, since it is smaller than the sum of its proper divisors (4844407920).

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

2214583680 is a wasteful number, since it uses less digits than its factorization.

2214583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153451 (or 1153439 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2214583680 is about 47059.3633616096. The cubic root of 2214583680 is about 1303.4589698565.

The spelling of 2214583680 in words is "two billion, two hundred fourteen million, five hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1153429 2306858 3460287 4613716 5767145 6920574 9227432 11534290 13841148 17301435 18454864 23068580 27682296 34602870 36909728 46137160 55364592 69205740 73819456 92274320 110729184 138411480 147638912 184548640 221458368 276822960 369097280 442916736 553645920 738194560 1107291840 2214583680