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212343750 = 23257151
BaseRepresentation
bin11001010100000…
…01101111000110
3112210120011212100
430222001233012
5413330000000
633023132530
75155614663
oct1452015706
9483504770
10212343750
11a9954003
125b144146
1334cb98b8
14202b6a6a
1513996a00
hexca81bc6

212343750 has 96 divisors (see below), whose sum is σ = 578904768. Its totient is φ = 56250000.

The previous prime is 212343749. The next prime is 212343757. The reversal of 212343750 is 57343212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212343757) 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 47 ways as a sum of consecutive naturals, for example, 1406175 + ... + 1406325.

It is an arithmetic number, because the mean of its divisors is an integer number (6030258).

Almost surely, 2212343750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212343750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289452384).

212343750 is an abundant number, since it is smaller than the sum of its proper divisors (366561018).

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

212343750 is an frugal number, since it uses more digits than its factorization.

212343750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 212343750 is about 14572.0194207941. The cubic root of 212343750 is about 596.5952999058.

Adding to 212343750 its reverse (57343212), we get a palindrome (269686962).

The spelling of 212343750 in words is "two hundred twelve million, three hundred forty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 151 225 250 302 375 450 453 625 750 755 906 1125 1250 1359 1510 1875 2250 2265 2718 3125 3750 3775 4530 5625 6250 6795 7550 9375 11250 11325 13590 15625 18750 18875 22650 28125 31250 33975 37750 46875 56250 56625 67950 78125 93750 94375 113250 140625 156250 169875 188750 234375 281250 283125 339750 468750 471875 566250 703125 849375 943750 1406250 1415625 1698750 2359375 2831250 4246875 4718750 7078125 8493750 11796875 14156250 21234375 23593750 35390625 42468750 70781250 106171875 212343750