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2212021300 = 2252174313019
BaseRepresentation
bin1000001111011000…
…1100010000110100
312201011022022202211
42003312030100310
514012234140200
61003255143204
7105546604456
oct20366142064
95634268684
102212021300
11a356a0385
12518974b04
13293380258
1416daca2d6
15ce2e3aba
hex83d8c434

2212021300 has 72 divisors (see below), whose sum is σ = 5095923840. Its totient is φ = 830553600.

The previous prime is 2212021291. The next prime is 2212021307. The reversal of 2212021300 is 31202122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212021307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 731191 + ... + 734209.

It is an arithmetic number, because the mean of its divisors is an integer number (70776720).

Almost surely, 22212021300 is an apocalyptic number.

2212021300 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 2212021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547961920).

2212021300 is an abundant number, since it is smaller than the sum of its proper divisors (2883902540).

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

2212021300 is a wasteful number, since it uses less digits than its factorization.

2212021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2212021300 is about 47032.1305067079. The cubic root of 2212021300 is about 1302.9560542344.

Adding to 2212021300 its reverse (31202122), we get a palindrome (2243223422).

The spelling of 2212021300 in words is "two billion, two hundred twelve million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 431 850 862 1700 1724 2155 3019 4310 6038 7327 8620 10775 12076 14654 15095 21550 29308 30190 36635 43100 51323 60380 73270 75475 102646 146540 150950 183175 205292 256615 301900 366350 513230 732700 1026460 1283075 1301189 2566150 2602378 5132300 5204756 6505945 13011890 22120213 26023780 32529725 44240426 65059450 88480852 110601065 130118900 221202130 442404260 553005325 1106010650 2212021300