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212430300 = 2235217231811
BaseRepresentation
bin11001010100101…
…10110111011100
3112210201120120220
430222112313130
5413340232200
633025041340
75156425215
oct1452266734
9483646526
10212430300
11a9a03035
125b186250
133501a104
14202da40c
15139b24a0
hexca96ddc

212430300 has 144 divisors (see below), whose sum is σ = 679456512. Its totient is φ = 50969600.

The previous prime is 212430287. The next prime is 212430341. The reversal of 212430300 is 3034212.

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 212430300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116395 + ... + 118205.

It is an arithmetic number, because the mean of its divisors is an integer number (4718448).

Almost surely, 2212430300 is an apocalyptic number.

212430300 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 212430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339728256).

212430300 is an abundant number, since it is smaller than the sum of its proper divisors (467026212).

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

212430300 is a wasteful number, since it uses less digits than its factorization.

212430300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1861 counting only the distinct ones).

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

The square root of 212430300 is about 14574.9888507676. The cubic root of 212430300 is about 596.6763450812.

Adding to 212430300 its reverse (3034212), we get a palindrome (215464512).

The spelling of 212430300 in words is "two hundred twelve million, four hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 25 30 34 46 50 51 60 68 69 75 85 92 100 102 115 138 150 170 204 230 255 276 300 340 345 391 425 460 510 575 690 782 850 1020 1150 1173 1275 1380 1564 1700 1725 1811 1955 2300 2346 2550 3450 3622 3910 4692 5100 5433 5865 6900 7244 7820 9055 9775 10866 11730 18110 19550 21732 23460 27165 29325 30787 36220 39100 41653 45275 54330 58650 61574 83306 90550 92361 108660 117300 123148 124959 135825 153935 166612 181100 184722 208265 249918 271650 307870 369444 416530 461805 499836 543300 615740 624795 708101 769675 833060 923610 1041325 1249590 1416202 1539350 1847220 2082650 2124303 2309025 2499180 2832404 3078700 3123975 3540505 4165300 4248606 4618050 6247950 7081010 8497212 9236100 10621515 12495900 14162020 17702525 21243030 35405050 42486060 53107575 70810100 106215150 212430300