Search a number
-
+
213871224 = 23375921577
BaseRepresentation
bin11001011111101…
…10101001111000
3112220102210011110
430233312221320
5414222334344
633120000320
75204606160
oct1457665170
9486383143
10213871224
11aa7a7686
125b7600a0
1335402c28
14205935a0
1513b993b9
hexcbf6a78

213871224 has 64 divisors (see below), whose sum is σ = 621446400. Its totient is φ = 60067584.

The previous prime is 213871199. The next prime is 213871247. The reversal of 213871224 is 422178312.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213871191 and 213871200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877 + ... + 20700.

It is an arithmetic number, because the mean of its divisors is an integer number (9710100).

Almost surely, 2213871224 is an apocalyptic number.

213871224 is a gapful number since it is divisible by the number (24) 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 213871224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310723200).

213871224 is an abundant number, since it is smaller than the sum of its proper divisors (407575176).

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

213871224 is a wasteful number, since it uses less digits than its factorization.

213871224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21652 (or 21648 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 213871224 is about 14624.3367029072. The cubic root of 213871224 is about 598.0224001035.

The spelling of 213871224 in words is "two hundred thirteen million, eight hundred seventy-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 21577 43154 64731 86308 129462 151039 172616 258924 302078 453117 517848 604156 906234 1208312 1273043 1812468 2546086 3624936 3819129 5092172 7638258 8911301 10184344 15276516 17822602 26733903 30553032 35645204 53467806 71290408 106935612 213871224