Search a number
-
+
213010254 = 23219976421
BaseRepresentation
bin11001011001001…
…00011101001110
3112211211001010200
430230210131032
5414012312004
633045314330
75164362102
oct1454443516
9484731120
10213010254
11aa269836
125b4059a6
1335191092
142040b902
1513a79239
hexcb2474e

213010254 has 48 divisors (see below), whose sum is σ = 490897680. Its totient is φ = 66562560.

The previous prime is 213010253. The next prime is 213010279. The reversal of 213010254 is 452010312.

213010254 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213010253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29964 + ... + 36384.

It is an arithmetic number, because the mean of its divisors is an integer number (10227035).

Almost surely, 2213010254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213010254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245448840).

213010254 is an abundant number, since it is smaller than the sum of its proper divisors (277887426).

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

213010254 is a wasteful number, since it uses less digits than its factorization.

213010254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6542 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 213010254 is about 14594.8708113501. The cubic root of 213010254 is about 597.2188452150.

Adding to 213010254 its reverse (452010312), we get a palindrome (665020566).

The spelling of 213010254 in words is "two hundred thirteen million, ten thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 97 114 171 194 291 342 582 873 1746 1843 3686 5529 6421 11058 12842 16587 19263 33174 38526 57789 115578 121999 243998 365997 622837 731994 1097991 1245674 1868511 2195982 3737022 5605533 11211066 11833903 23667806 35501709 71003418 106505127 213010254