Search a number
-
+
212519136 = 2533171411
BaseRepresentation
bin11001010101011…
…00100011100000
3112210220002110010
430222230203200
5413401103021
633031004520
75160245214
oct1452544340
9483802403
10212519136
11a9a63855
125b209740
133504b68b
1420320944
15139cd976
hexcaac8e0

212519136 has 48 divisors (see below), whose sum is σ = 575866368. Its totient is φ = 68553600.

The previous prime is 212519107. The next prime is 212519171. The reversal of 212519136 is 631915212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32730 + ... + 38681.

It is an arithmetic number, because the mean of its divisors is an integer number (11997216).

Almost surely, 2212519136 is an apocalyptic number.

It is an amenable number.

212519136 is an abundant number, since it is smaller than the sum of its proper divisors (363347232).

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

212519136 is a wasteful number, since it uses less digits than its factorization.

212519136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71455 (or 71447 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 212519136 is about 14578.0360817224. The cubic root of 212519136 is about 596.7595079706.

The spelling of 212519136 in words is "two hundred twelve million, five hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 71411 142822 214233 285644 428466 571288 856932 1142576 1713864 2213741 2285152 3427728 4427482 6641223 6855456 8854964 13282446 17709928 26564892 35419856 53129784 70839712 106259568 212519136