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216505212 = 223711534421
BaseRepresentation
bin11001110011110…
…01101101111100
3120002101121022120
430321321231330
5420411131322
633252242540
75236156350
oct1471715574
9502347276
10216505212
11101236630
1260610450
1335b15ac1
1420a7b460
1514019a5c
hexce79b7c

216505212 has 96 divisors (see below), whose sum is σ = 641862144. Its totient is φ = 55161600.

The previous prime is 216505193. The next prime is 216505229. The reversal of 216505212 is 212505612.

It is a happy number.

216505212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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, 46762 + ... + 51182.

It is an arithmetic number, because the mean of its divisors is an integer number (6686064).

Almost surely, 2216505212 is an apocalyptic number.

216505212 is a gapful number since it is divisible by the number (22) 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 216505212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320931072).

216505212 is an abundant number, since it is smaller than the sum of its proper divisors (425356932).

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

216505212 is a wasteful number, since it uses less digits than its factorization.

216505212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 216505212 is about 14714.1160794660. The cubic root of 216505212 is about 600.4674246513.

It can be divided in two parts, 21650 and 5212, that added together give a palindrome (26862).

The spelling of 216505212 in words is "two hundred sixteen million, five hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 53 66 77 84 106 132 154 159 212 231 308 318 371 462 583 636 742 924 1113 1166 1484 1749 2226 2332 3498 4081 4421 4452 6996 8162 8842 12243 13263 16324 17684 24486 26526 30947 48631 48972 53052 61894 92841 97262 123788 145893 185682 194524 234313 291786 340417 371364 468626 583572 680834 702939 937252 1021251 1361668 1405878 1640191 2042502 2577443 2811756 3280382 4085004 4920573 5154886 6560764 7732329 9841146 10309772 15464658 18042101 19682292 30929316 36084202 54126303 72168404 108252606 216505212