Search a number
-
+
213142152 = 23319467417
BaseRepresentation
bin11001011010001…
…00101010001000
3112212001202001210
430231010222020
5414031022102
633052213120
75165451456
oct1455045210
9485052053
10213142152
11aa349943
125b46a1a0
1335209122
14204439d6
1513aa336c
hexcb44a88

213142152 has 32 divisors (see below), whose sum is σ = 560901600. Its totient is φ = 67307904.

The previous prime is 213142147. The next prime is 213142157. The reversal of 213142152 is 251241312.

213142152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213142147) and next prime (213142157).

It is a super-2 number, since 2×2131421522 = 90859153918382208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213142157) 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 7 ways as a sum of consecutive naturals, for example, 233253 + ... + 234164.

It is an arithmetic number, because the mean of its divisors is an integer number (17528175).

Almost surely, 2213142152 is an apocalyptic number.

It is an amenable number.

213142152 is an abundant number, since it is smaller than the sum of its proper divisors (347759448).

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

213142152 is a wasteful number, since it uses less digits than its factorization.

213142152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467445 (or 467441 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 213142152 is about 14599.3887543280. The cubic root of 213142152 is about 597.3420876671.

Adding to 213142152 its reverse (251241312), we get a palindrome (464383464).

The spelling of 213142152 in words is "two hundred thirteen million, one hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 467417 934834 1402251 1869668 2804502 3739336 5609004 8880923 11218008 17761846 26642769 35523692 53285538 71047384 106571076 213142152