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2200132340 = 2257445817
BaseRepresentation
bin1000001100100011…
…0101101011110100
312200022221022011222
42003020311223310
514001213213330
61002152245512
7105343550000
oct20310655364
95608838158
102200132340
11a29a0aa9a
125149a0898
13290a79973
1416c2b3700
15cd2460e5
hex83235af4

2200132340 has 60 divisors (see below), whose sum is σ = 5390121156. Its totient is φ = 754314624.

The previous prime is 2200132331. The next prime is 2200132373. The reversal of 2200132340 is 432310022.

It can be written as a sum of positive squares in 2 ways, for example, as 1430957584 + 769174756 = 37828^2 + 27734^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25112 + ... + 70928.

Almost surely, 22200132340 is an apocalyptic number.

2200132340 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 2200132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695060578).

2200132340 is an abundant number, since it is smaller than the sum of its proper divisors (3189988816).

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

2200132340 is an equidigital number, since it uses as much as digits as its factorization.

2200132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45854 (or 45831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2200132340 is about 46905.5683261593. The cubic root of 2200132340 is about 1300.6175251576.

Adding to 2200132340 its reverse (432310022), we get a palindrome (2632442362).

The spelling of 2200132340 in words is "two billion, two hundred million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4802 6860 9604 12005 24010 45817 48020 91634 183268 229085 320719 458170 641438 916340 1282876 1603595 2245033 3207190 4490066 6414380 8980132 11225165 15715231 22450330 31430462 44900660 62860924 78576155 110006617 157152310 220013234 314304620 440026468 550033085 1100066170 2200132340