Search a number
-
+
214311132 = 22327853997
BaseRepresentation
bin11001100011000…
…10000011011100
3112221021010121100
430301202003130
5414330424012
633133233100
75211420540
oct1461420334
9487233540
10214311132
11aaa78142
125b932790
1335528229
1420669a20
1513c348dc
hexcc620dc

214311132 has 72 divisors (see below), whose sum is σ = 620468576. Its totient is φ = 61098624.

The previous prime is 214311109. The next prime is 214311133. The reversal of 214311132 is 231113412.

It is a super-2 number, since 2×2143111322 = 91858522598242848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214311133) 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, 214458 + ... + 215454.

Almost surely, 2214311132 is an apocalyptic number.

It is an amenable number.

214311132 is an abundant number, since it is smaller than the sum of its proper divisors (406157444).

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

214311132 is a wasteful number, since it uses less digits than its factorization.

214311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1862 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 214311132 is about 14639.3692487074. The cubic root of 214311132 is about 598.4321399266.

Adding to 214311132 its reverse (231113412), we get a palindrome (445424544).

The spelling of 214311132 in words is "two hundred fourteen million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 853 997 1706 1994 2559 2991 3412 3988 5118 5971 5982 6979 7677 8973 10236 11942 11964 13958 15354 17913 17946 20937 23884 27916 30708 35826 35892 41874 53739 62811 71652 83748 107478 125622 214956 251244 850441 1700882 2551323 3401764 5102646 5953087 7653969 10205292 11906174 15307938 17859261 23812348 30615876 35718522 53577783 71437044 107155566 214311132