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2212303400 = 2352137263307
BaseRepresentation
bin1000001111011101…
…0001001000101000
312201011211122201222
42003313101020220
514012322202100
61003305201212
7105552161066
oct20367211050
95634748658
102212303400
11a3587331a
12518a90208
1329344b788
1416db61036
15ce34c485
hex83dd1228

2212303400 has 96 divisors (see below), whose sum is σ = 5217791040. Its totient is φ = 872271360.

The previous prime is 2212303397. The next prime is 2212303403. The reversal of 2212303400 is 43032122.

It is an interprime number because it is at equal distance from previous prime (2212303397) and next prime (2212303403).

It is not an unprimeable number, because it can be changed into a prime (2212303403) 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, 7206047 + ... + 7206353.

It is an arithmetic number, because the mean of its divisors is an integer number (54351990).

Almost surely, 22212303400 is an apocalyptic number.

2212303400 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 2212303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608895520).

2212303400 is an abundant number, since it is smaller than the sum of its proper divisors (3005487640).

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

2212303400 is a wasteful number, since it uses less digits than its factorization.

2212303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 714 counting only the distinct ones).

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

The square root of 2212303400 is about 47035.1294247183. The cubic root of 2212303400 is about 1303.0114407232.

Adding to 2212303400 its reverse (43032122), we get a palindrome (2255335522).

The spelling of 2212303400 in words is "two billion, two hundred twelve million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 263 274 307 526 548 614 685 1052 1096 1228 1315 1370 1535 2104 2456 2630 2740 3070 3425 5260 5480 6140 6575 6850 7675 10520 12280 13150 13700 15350 26300 27400 30700 36031 42059 52600 61400 72062 80741 84118 144124 161482 168236 180155 210295 288248 322964 336472 360310 403705 420590 645928 720620 807410 841180 900775 1051475 1441240 1614820 1682360 1801550 2018525 2102950 3229640 3603100 4037050 4205900 7206200 8074100 8411800 11061517 16148200 22123034 44246068 55307585 88492136 110615170 221230340 276537925 442460680 553075850 1106151700 2212303400