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2212132300 = 2252767101467
BaseRepresentation
bin1000001111011010…
…0111010111001100
312201011111222000221
42003312213113030
514012301213200
61003301401124
7105550546210
oct20366472714
95634458027
102212132300
11a35766814
12518a091a4
132933bb931
1416db18940
15ce31691a
hex83da75cc

2212132300 has 144 divisors (see below), whose sum is σ = 5635139328. Its totient is φ = 738144000.

The previous prime is 2212132297. The next prime is 2212132301. The reversal of 2212132300 is 32312122.

It is not an unprimeable number, because it can be changed into a prime (2212132301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4736667 + ... + 4737133.

It is an arithmetic number, because the mean of its divisors is an integer number (39132912).

Almost surely, 22212132300 is an apocalyptic number.

2212132300 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 2212132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817569664).

2212132300 is an abundant number, since it is smaller than the sum of its proper divisors (3423007028).

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

2212132300 is a wasteful number, since it uses less digits than its factorization.

2212132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2212132300 is about 47033.3105362572. The cubic root of 2212132300 is about 1302.9778481329.

Adding to 2212132300 its reverse (32312122), we get a palindrome (2244444422).

The spelling of 2212132300 in words is "two billion, two hundred twelve million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 101 134 140 175 202 268 335 350 404 467 469 505 670 700 707 934 938 1010 1340 1414 1675 1868 1876 2020 2335 2345 2525 2828 3269 3350 3535 4670 4690 5050 6538 6700 6767 7070 9340 9380 10100 11675 11725 13076 13534 14140 16345 17675 23350 23450 27068 31289 32690 33835 35350 46700 46900 47167 47369 62578 65380 67670 70700 81725 94334 94738 125156 135340 156445 163450 169175 188668 189476 219023 235835 236845 312890 326900 330169 338350 438046 471670 473690 625780 660338 676700 782225 876092 943340 947380 1095115 1179175 1184225 1320676 1564450 1650845 2190230 2358350 2368450 3128900 3160189 3301690 4380460 4716700 4736900 5475575 6320378 6603380 8254225 10951150 12640756 15800945 16508450 21902300 22121323 31601890 33016900 44242646 63203780 79004725 88485292 110606615 158009450 221213230 316018900 442426460 553033075 1106066150 2212132300