Search a number
-
+
132206214 = 2372449681
BaseRepresentation
bin1111110000101…
…00111010000110
3100012202202211110
413320110322012
5232321044324
621041345450
73163506600
oct770247206
9305682743
10132206214
1168699538
1238338286
132150ba3a
14137b6170
15b917329
hex7e14e86

132206214 has 24 divisors (see below), whose sum is σ = 307582488. Its totient is φ = 37773120.

The previous prime is 132206213. The next prime is 132206251. The reversal of 132206214 is 412602231.

132206214 is digitally balanced in base 3, 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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132206213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224547 + ... + 225134.

It is an arithmetic number, because the mean of its divisors is an integer number (12815937).

Almost surely, 2132206214 is an apocalyptic number.

132206214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132206214 is an abundant number, since it is smaller than the sum of its proper divisors (175376274).

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

132206214 is a wasteful number, since it uses less digits than its factorization.

132206214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449700 (or 449693 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 132206214 is about 11498.0961032686. The cubic root of 132206214 is about 509.4293424854.

Adding to 132206214 its reverse (412602231), we get a palindrome (544808445).

The spelling of 132206214 in words is "one hundred thirty-two million, two hundred six thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 449681 899362 1349043 2698086 3147767 6295534 9443301 18886602 22034369 44068738 66103107 132206214