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212028700 = 225213433793
BaseRepresentation
bin11001010001101…
…00110100011100
3112202222011200211
430220310310130
5413234404300
633012302204
75153133322
oct1450646434
9482864624
10212028700
11a9759334
125b011964
1334c09390
1420233d12
15139334ba
hexca34d1c

212028700 has 72 divisors (see below), whose sum is σ = 507151568. Its totient is φ = 76446720.

The previous prime is 212028689. The next prime is 212028701. The reversal of 212028700 is 7820212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212028701) 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, 54004 + ... + 57796.

Almost surely, 2212028700 is an apocalyptic number.

212028700 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 212028700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253575784).

212028700 is an abundant number, since it is smaller than the sum of its proper divisors (295122868).

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

212028700 is a wasteful number, since it uses less digits than its factorization.

212028700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 212028700 is about 14561.2053072539. The cubic root of 212028700 is about 596.3001018570.

Adding to 212028700 its reverse (7820212), we get a palindrome (219848912).

The spelling of 212028700 in words is "two hundred twelve million, twenty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 172 215 260 325 430 559 650 860 1075 1118 1300 2150 2236 2795 3793 4300 5590 7586 11180 13975 15172 18965 27950 37930 49309 55900 75860 94825 98618 163099 189650 197236 246545 326198 379300 493090 652396 815495 986180 1232725 1630990 2120287 2465450 3261980 4077475 4240574 4930900 8154950 8481148 10601435 16309900 21202870 42405740 53007175 106014350 212028700