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2200132320 = 253513733457
BaseRepresentation
bin1000001100100011…
…0101101011100000
312200022221022011020
42003020311223200
514001213213240
61002152245440
7105343546641
oct20310655340
95608838136
102200132320
11a29a0aa81
125149a0880
13290a79959
1416c2b36c8
15cd2460d0
hex83235ae0

2200132320 has 96 divisors (see below), whose sum is σ = 6981212448. Its totient is φ = 582402048.

The previous prime is 2200132313. The next prime is 2200132331. The reversal of 2200132320 is 232310022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200132320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49032 + ... + 82488.

It is an arithmetic number, because the mean of its divisors is an integer number (72720963).

Almost surely, 22200132320 is an apocalyptic number.

2200132320 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 2200132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490606224).

2200132320 is an abundant number, since it is smaller than the sum of its proper divisors (4781080128).

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

2200132320 is a wasteful number, since it uses less digits than its factorization.

2200132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33612 (or 33604 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2200132320 is about 46905.5681129650. The cubic root of 2200132320 is about 1300.6175212166.

Adding to 2200132320 its reverse (232310022), we get a palindrome (2432442342).

The spelling of 2200132320 in words is "two billion, two hundred million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 137 160 240 274 411 480 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 4384 5480 6576 8220 10960 13152 16440 21920 32880 33457 65760 66914 100371 133828 167285 200742 267656 334570 401484 501855 535312 669140 802968 1003710 1070624 1338280 1605936 2007420 2676560 3211872 4014840 4583609 5353120 8029680 9167218 13750827 16059360 18334436 22918045 27501654 36668872 45836090 55003308 68754135 73337744 91672180 110006616 137508270 146675488 183344360 220013232 275016540 366688720 440026464 550033080 733377440 1100066160 2200132320