Search a number
-
+
214591832 = 237132811049
BaseRepresentation
bin11001100101001…
…10100101011000
3112221210101122122
430302212211120
5414413414312
633143240412
75214000110
oct1462464530
9487711578
10214591832
1110014a024
125ba49108
13355c5c20
1420700040
1513c8cb72
hexcca6958

214591832 has 64 divisors (see below), whose sum is σ = 497448000. Its totient is φ = 84510720.

The previous prime is 214591831. The next prime is 214591837. The reversal of 214591832 is 238195412.

It is a super-2 number, since 2×2145918322 = 92099308722232448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214591792 and 214591801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214591831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204044 + ... + 205092.

It is an arithmetic number, because the mean of its divisors is an integer number (7772625).

Almost surely, 2214591832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214591832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248724000).

214591832 is an abundant number, since it is smaller than the sum of its proper divisors (282856168).

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

214591832 is a wasteful number, since it uses less digits than its factorization.

214591832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1352 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 214591832 is about 14648.9532731864. The cubic root of 214591832 is about 598.6932970188.

The spelling of 214591832 in words is "two hundred fourteen million, five hundred ninety-one thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 281 364 562 728 1049 1124 1967 2098 2248 3653 3934 4196 7306 7343 7868 8392 13637 14612 14686 15736 25571 27274 29224 29372 51142 54548 58744 95459 102284 109096 190918 204568 294769 381836 589538 763672 1179076 2063383 2358152 3831997 4126766 7663994 8253532 15327988 16507064 26823979 30655976 53647958 107295916 214591832