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212200300 = 2252132347151
BaseRepresentation
bin11001010010111…
…10101101101100
3112210021220002101
430221132231230
5413310402200
633020104444
75154446524
oct1451365554
9483256071
10212200300
11a9866254
125b095124
1334c69510
142027a684
151396926a
hexca5eb6c

212200300 has 144 divisors (see below), whose sum is σ = 531965952. Its totient is φ = 72864000.

The previous prime is 212200283. The next prime is 212200349. The reversal of 212200300 is 3002212.

212200300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

212200300 is strictly pandigital in base 9.

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, 1405225 + ... + 1405375.

It is an arithmetic number, because the mean of its divisors is an integer number (3694208).

Almost surely, 2212200300 is an apocalyptic number.

212200300 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 212200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265982976).

212200300 is an abundant number, since it is smaller than the sum of its proper divisors (319765652).

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

212200300 is a wasteful number, since it uses less digits than its factorization.

212200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 212200300 is about 14567.0964848868. The cubic root of 212200300 is about 596.4609252190.

Adding to 212200300 its reverse (3002212), we get a palindrome (215202512).

The spelling of 212200300 in words is "two hundred twelve million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 47 50 52 65 92 94 100 115 130 151 188 230 235 260 299 302 325 460 470 575 598 604 611 650 755 940 1081 1150 1175 1196 1222 1300 1495 1510 1963 2162 2300 2350 2444 2990 3020 3055 3473 3775 3926 4324 4700 5405 5980 6110 6946 7097 7475 7550 7852 9815 10810 12220 13892 14053 14194 14950 15100 15275 17365 19630 21620 27025 28106 28388 29900 30550 34730 35485 39260 45149 49075 54050 56212 61100 69460 70265 70970 86825 90298 92261 98150 108100 140530 141940 163231 173650 177425 180596 184522 196300 225745 281060 326462 347300 351325 354850 369044 451490 461305 652924 702650 709700 816155 902980 922610 1128725 1405300 1632310 1845220 2122003 2257450 2306525 3264620 4080775 4244006 4514900 4613050 8161550 8488012 9226100 10610015 16323100 21220030 42440060 53050075 106100150 212200300