Search a number
-
+
212364460 = 225711373727
BaseRepresentation
bin11001010100001…
…10110010101100
3112210121020021101
430222012302230
5413331130320
633023412444
75156032240
oct1452066254
9483536241
10212364460
11a9968620
125b154124
1334cc6159
14202c0420
151399cc0a
hexca86cac

212364460 has 96 divisors (see below), whose sum is σ = 571189248. Its totient is φ = 64385280.

The previous prime is 212364443. The next prime is 212364469. The reversal of 212364460 is 64463212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (212364469) 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 31 ways as a sum of consecutive naturals, for example, 55117 + ... + 58843.

It is an arithmetic number, because the mean of its divisors is an integer number (5949888).

Almost surely, 2212364460 is an apocalyptic number.

212364460 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 212364460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285594624).

212364460 is an abundant number, since it is smaller than the sum of its proper divisors (358824788).

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

212364460 is a wasteful number, since it uses less digits than its factorization.

212364460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 212364460 is about 14572.7300119092. The cubic root of 212364460 is about 596.6146946953.

The spelling of 212364460 in words is "two hundred twelve million, three hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 55 70 74 77 110 140 148 154 185 220 259 308 370 385 407 518 740 770 814 1036 1295 1540 1628 2035 2590 2849 3727 4070 5180 5698 7454 8140 11396 14245 14908 18635 26089 28490 37270 40997 52178 56980 74540 81994 104356 130445 137899 163988 204985 260890 275798 286979 409970 521780 551596 573958 689495 819940 965293 1147916 1378990 1434895 1516889 1930586 2757980 2869790 3033778 3861172 4826465 5739580 6067556 7584445 9652930 10618223 15168890 19305860 21236446 30337780 42472892 53091115 106182230 212364460