Search a number
-
+
212382390 = 23511643583
BaseRepresentation
bin11001010100010…
…11001010110110
3112210122010212110
430222023022312
5413332214030
633024031450
75156135433
oct1452131266
9483563773
10212382390
11a9980040
125b162586
133500136c
14202c6b8a
15139a31b0
hexca8b2b6

212382390 has 32 divisors (see below), whose sum is σ = 556056576. Its totient is φ = 51486560.

The previous prime is 212382389. The next prime is 212382397. The reversal of 212382390 is 93283212.

It is a happy number.

212382390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2123823902 = 90212559164224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212382397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321462 + ... + 322121.

It is an arithmetic number, because the mean of its divisors is an integer number (17376768).

Almost surely, 2212382390 is an apocalyptic number.

212382390 is an abundant number, since it is smaller than the sum of its proper divisors (343674186).

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

212382390 is a wasteful number, since it uses less digits than its factorization.

212382390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643604.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 212382390 is about 14573.3451890772. The cubic root of 212382390 is about 596.6314850133.

The spelling of 212382390 in words is "two hundred twelve million, three hundred eighty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 643583 1287166 1930749 3217915 3861498 6435830 7079413 9653745 14158826 19307490 21238239 35397065 42476478 70794130 106191195 212382390