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2214322200 = 23325210711497
BaseRepresentation
bin1000001111111011…
…1110000000011000
312201022122020000100
42003332332000120
514013331302300
61003420335400
7105605266566
oct20376760030
95638566010
102214322200
11a36a22052
125196a4560
132939a762c
14170128a36
15ce5ea700
hex83fbe018

2214322200 has 144 divisors (see below), whose sum is σ = 7506584280. Its totient is φ = 584916480.

The previous prime is 2214322183. The next prime is 2214322207. The reversal of 2214322200 is 22234122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214322207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186852 + ... + 198348.

Almost surely, 22214322200 is an apocalyptic number.

2214322200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753292140).

2214322200 is an abundant number, since it is smaller than the sum of its proper divisors (5292262080).

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

2214322200 is a wasteful number, since it uses less digits than its factorization.

2214322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11626 (or 11614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2214322200 is about 47056.5850864680. The cubic root of 2214322200 is about 1303.4076672318.

Adding to 2214322200 its reverse (22234122), we get a palindrome (2236556322).

The spelling of 2214322200 in words is "two billion, two hundred fourteen million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 107 120 150 180 200 214 225 300 321 360 428 450 535 600 642 856 900 963 1070 1284 1605 1800 1926 2140 2568 2675 3210 3852 4280 4815 5350 6420 7704 8025 9630 10700 11497 12840 16050 19260 21400 22994 24075 32100 34491 38520 45988 48150 57485 64200 68982 91976 96300 103473 114970 137964 172455 192600 206946 229940 275928 287425 344910 413892 459880 517365 574850 689820 827784 862275 1034730 1149700 1230179 1379640 1724550 2069460 2299400 2460358 2586825 3449100 3690537 4138920 4920716 5173650 6150895 6898200 7381074 9841432 10347300 11071611 12301790 14762148 18452685 20694600 22143222 24603580 29524296 30754475 36905370 44286444 49207160 55358055 61508950 73810740 88572888 92263425 110716110 123017900 147621480 184526850 221432220 246035800 276790275 369053700 442864440 553580550 738107400 1107161100 2214322200