Search a number
-
+
213395872 = 2537180233
BaseRepresentation
bin11001011100000…
…10100110100000
3112212112122002211
430232002212200
5414112131442
633101451504
75200556254
oct1456024640
9485478084
10213395872
11aa502528
125b570b94
1335297761
14204ac264
1513b03617
hexcb829a0

213395872 has 24 divisors (see below), whose sum is σ = 431480196. Its totient is φ = 103813632.

The previous prime is 213395843. The next prime is 213395879. The reversal of 213395872 is 278593312.

It can be written as a sum of positive squares in 2 ways, for example, as 202663696 + 10732176 = 14236^2 + 3276^2 .

It is not an unprimeable number, because it can be changed into a prime (213395879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88933 + ... + 91300.

Almost surely, 2213395872 is an apocalyptic number.

It is an amenable number.

213395872 is an abundant number, since it is smaller than the sum of its proper divisors (218084324).

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

213395872 is a wasteful number, since it uses less digits than its factorization.

213395872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180280 (or 180272 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 213395872 is about 14608.0755748319. The cubic root of 213395872 is about 597.5790148943.

It can be divided in two parts, 2133 and 95872, that multiplied together give a triangular number (204494976 = T20223).

The spelling of 213395872 in words is "two hundred thirteen million, three hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 180233 360466 720932 1441864 2883728 5767456 6668621 13337242 26674484 53348968 106697936 213395872