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214466742 = 23273154907
BaseRepresentation
bin11001100100010…
…00000010110110
3112221120001001200
430302020002312
5414400413432
633140433330
75212636320
oct1462100266
9487501050
10214466742
11100074046
125b9a8846
1335580cc9
14206aa610
1513c65a7c
hexcc880b6

214466742 has 48 divisors (see below), whose sum is σ = 548201472. Its totient is φ = 59298480.

The previous prime is 214466731. The next prime is 214466753. The reversal of 214466742 is 247664412.

It is an interprime number because it is at equal distance from previous prime (214466731) and next prime (214466753).

It is a junction number, because it is equal to n+sod(n) for n = 214466697 and 214466706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23548 + ... + 31359.

It is an arithmetic number, because the mean of its divisors is an integer number (11420864).

Almost surely, 2214466742 is an apocalyptic number.

214466742 is an abundant number, since it is smaller than the sum of its proper divisors (333734730).

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

214466742 is a wasteful number, since it uses less digits than its factorization.

214466742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54953 (or 54950 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 214466742 is about 14644.6830624633. The cubic root of 214466742 is about 598.5769441886.

It can be divided in two parts, 2144 and 66742, that added together give a palindrome (68886).

The spelling of 214466742 in words is "two hundred fourteen million, four hundred sixty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 54907 109814 164721 329442 384349 494163 768698 988326 1153047 1702117 2306094 3404234 3459141 5106351 6918282 10212702 11914819 15319053 23829638 30638106 35744457 71488914 107233371 214466742