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2214371808 = 2532114091709
BaseRepresentation
bin1000001111111100…
…1010000111100000
312201022201202001200
42003333022013200
514013334344213
61003421401200
7105605564325
oct20377120740
95638652050
102214371808
11a36a56350
12519709200
132939c409c
1417013cb4c
15ce60a273
hex83fca1e0

2214371808 has 144 divisors (see below), whose sum is σ = 6890410800. Its totient is φ = 668989440.

The previous prime is 2214371791. The next prime is 2214371827. The reversal of 2214371808 is 8081734122.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1294858 + ... + 1296566.

It is an arithmetic number, because the mean of its divisors is an integer number (47850075).

Almost surely, 22214371808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214371808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445205400).

2214371808 is an abundant number, since it is smaller than the sum of its proper divisors (4676038992).

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

2214371808 is a wasteful number, since it uses less digits than its factorization.

2214371808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2214371808 is about 47057.1121935888. The cubic root of 2214371808 is about 1303.4174006790.

The spelling of 2214371808 in words is "two billion, two hundred fourteen million, three hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 409 528 792 818 1056 1227 1584 1636 1709 2454 3168 3272 3418 3681 4499 4908 5127 6544 6836 7362 8998 9816 10254 13088 13497 13672 14724 15381 17996 18799 19632 20508 26994 27344 29448 30762 35992 37598 39264 40491 41016 53988 54688 56397 58896 61524 71984 75196 80982 82032 107976 112794 117792 123048 143968 150392 161964 164064 169191 215952 225588 246096 300784 323928 338382 431904 451176 492192 601568 647856 676764 698981 902352 1295712 1353528 1397962 1804704 2096943 2707056 2795924 4193886 5414112 5591848 6290829 7688791 8387772 11183696 12581658 15377582 16775544 22367392 23066373 25163316 30755164 33551088 46132746 50326632 61510328 67102176 69199119 92265492 100653264 123020656 138398238 184530984 201306528 246041312 276796476 369061968 553592952 738123936 1107185904 2214371808