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212331300 = 223521275573
BaseRepresentation
bin11001010011111…
…10101100100100
3112210112112210020
430221332230210
5413324100200
633022555140
75155533456
oct1451765444
9483475706
10212331300
11a9945715
125b138ab0
1334cb402c
14202b22d6
1513992ea0
hexca7eb24

212331300 has 72 divisors (see below), whose sum is σ = 619293696. Its totient is φ = 56165760.

The previous prime is 212331293. The next prime is 212331313. The reversal of 212331300 is 3133212.

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 212331300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35314 + ... + 40886.

Almost surely, 2212331300 is an apocalyptic number.

212331300 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 212331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309646848).

212331300 is an abundant number, since it is smaller than the sum of its proper divisors (406962396).

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

212331300 is a wasteful number, since it uses less digits than its factorization.

212331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 212331300 is about 14571.5922259717. The cubic root of 212331300 is about 596.5836399494.

Adding to 212331300 its reverse (3133212), we get a palindrome (215464512).

The spelling of 212331300 in words is "two hundred twelve million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 5573 6350 7620 9525 11146 12700 16719 19050 22292 27865 33438 38100 55730 66876 83595 111460 139325 167190 278650 334380 417975 557300 707771 835950 1415542 1671900 2123313 2831084 3538855 4246626 7077710 8493252 10616565 14155420 17694275 21233130 35388550 42466260 53082825 70777100 106165650 212331300