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212364330 = 23519477927
BaseRepresentation
bin11001010100001…
…10110000101010
3112210121020002120
430222012300222
5413331124310
633023412110
75156031663
oct1452066052
9483536076
10212364330
11a9968512
125b154036
1334cc6089
14202c036a
151399cb70
hexca86c2a

212364330 has 64 divisors (see below), whose sum is σ = 547983360. Its totient is φ = 52501824.

The previous prime is 212364329. The next prime is 212364367. The reversal of 212364330 is 33463212.

212364330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212364330.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22827 + ... + 30753.

It is an arithmetic number, because the mean of its divisors is an integer number (8562240).

Almost surely, 2212364330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212364330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273991680).

212364330 is an abundant number, since it is smaller than the sum of its proper divisors (335619030).

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

212364330 is a wasteful number, since it uses less digits than its factorization.

212364330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8003.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 212364330 is about 14572.7255515226. The cubic root of 212364330 is about 596.6145729551.

The spelling of 212364330 in words is "two hundred twelve million, three hundred sixty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 47 57 94 95 114 141 190 235 282 285 470 570 705 893 1410 1786 2679 4465 5358 7927 8930 13395 15854 23781 26790 39635 47562 79270 118905 150613 237810 301226 372569 451839 745138 753065 903678 1117707 1506130 1862845 2235414 2259195 3725690 4518390 5588535 7078811 11177070 14157622 21236433 35394055 42472866 70788110 106182165 212364330