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214431132 = 223173728409
BaseRepresentation
bin11001100011111…
…11010110011100
3112221111020012210
430301333112130
5414343244012
633140000420
75212430436
oct1461772634
9487436183
10214431132
1110004a313
125b990110
133556aa36
142069b656
1513c5a23c
hexcc7f59c

214431132 has 48 divisors (see below), whose sum is σ = 544108320. Its totient is φ = 65452032.

The previous prime is 214431121. The next prime is 214431137. The reversal of 214431132 is 231134412.

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

It is a junction number, because it is equal to n+sod(n) for n = 214431099 and 214431108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214431137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6657 + ... + 21752.

It is an arithmetic number, because the mean of its divisors is an integer number (11335590).

Almost surely, 2214431132 is an apocalyptic number.

It is an amenable number.

214431132 is an abundant number, since it is smaller than the sum of its proper divisors (329677188).

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

214431132 is a wasteful number, since it uses less digits than its factorization.

214431132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28470 (or 28468 counting only the distinct ones).

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

The square root of 214431132 is about 14643.4672123784. The cubic root of 214431132 is about 598.5438131701.

Adding to 214431132 its reverse (231134412), we get a palindrome (445565544).

The spelling of 214431132 in words is "two hundred fourteen million, four hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3774 7548 28409 56818 85227 113636 170454 340908 482953 965906 1051133 1448859 1931812 2102266 2897718 3153399 4204532 5795436 6306798 12613596 17869261 35738522 53607783 71477044 107215566 214431132