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2200213200 = 243527923209
BaseRepresentation
bin1000001100100100…
…1001011011010000
312200100002102002210
42003021021123100
514001223310300
61002154112120
7105344334513
oct20311113320
95610072083
102200213200
11a29a65819
12514a1b640
13290aa7703
1416c2d4d7a
15cd260050
hex832496d0

2200213200 has 120 divisors (see below), whose sum is σ = 7137539200. Its totient is φ = 579271680.

The previous prime is 2200213199. The next prime is 2200213259. The reversal of 2200213200 is 23120022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 83196 + ... + 106404.

Almost surely, 22200213200 is an apocalyptic number.

2200213200 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 2200213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568769600).

2200213200 is an abundant number, since it is smaller than the sum of its proper divisors (4937326000).

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

2200213200 is a wasteful number, since it uses less digits than its factorization.

2200213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23309 (or 23298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2200213200 is about 46906.4302628115. The cubic root of 2200213200 is about 1300.6334585392.

Adding to 2200213200 its reverse (23120022), we get a palindrome (2223333222).

The spelling of 2200213200 in words is "two billion, two hundred million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 79 80 100 120 150 158 200 237 240 300 316 395 400 474 600 632 790 948 1185 1200 1264 1580 1896 1975 2370 3160 3792 3950 4740 5925 6320 7900 9480 11850 15800 18960 23209 23700 31600 46418 47400 69627 92836 94800 116045 139254 185672 232090 278508 348135 371344 464180 557016 580225 696270 928360 1114032 1160450 1392540 1740675 1833511 1856720 2320900 2785080 3481350 3667022 4641800 5500533 5570160 6962700 7334044 9167555 9283600 11001066 13925400 14668088 18335110 22002132 27502665 27850800 29336176 36670220 44004264 45837775 55005330 73340440 88008528 91675550 110010660 137513325 146680880 183351100 220021320 275026650 366702200 440042640 550053300 733404400 1100106600 2200213200