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214224131 = 112961101109
BaseRepresentation
bin11001100010011…
…00110100000011
3112221002201021002
430301030310003
5414320133011
633131322215
75210606102
oct1461146403
9487081232
10214224131
11aaa18840
125b8b036b
13354c7754
1420646039
1513c18c3b
hexcc4cd03

214224131 has 32 divisors (see below), whose sum is σ = 250430400. Its totient is φ = 181440000.

The previous prime is 214224113. The next prime is 214224133. The reversal of 214224131 is 131422412.

It is a cyclic number.

It is not a de Polignac number, because 214224131 - 26 = 214224067 is a prime.

It is a super-2 number, since 2×2142241312 = 91783956605410322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214224133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1965305 + ... + 1965413.

It is an arithmetic number, because the mean of its divisors is an integer number (7825950).

Almost surely, 2214224131 is an apocalyptic number.

214224131 is a deficient number, since it is larger than the sum of its proper divisors (36206269).

214224131 is a wasteful number, since it uses less digits than its factorization.

214224131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311.

The product of its digits is 384, while the sum is 20.

The square root of 214224131 is about 14636.3974734222. The cubic root of 214224131 is about 598.3511498244.

Adding to 214224131 its reverse (131422412), we get a palindrome (345646543).

The spelling of 214224131 in words is "two hundred fourteen million, two hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 11 29 61 101 109 319 671 1111 1199 1769 2929 3161 6161 6649 11009 19459 32219 34771 67771 73139 121099 178669 192821 319261 671549 1965359 2121031 3511871 7387039 19474921 214224131