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214103142 = 23311477669
BaseRepresentation
bin11001100001011…
…11010001100110
3112220212120022000
430300233101212
5414302300032
633124550130
75206563261
oct1460572146
9486776260
10214103142
11aa945950
125b852346
1335484666
1420613cd8
1513be2e7c
hexcc2f466

214103142 has 64 divisors (see below), whose sum is σ = 530150400. Its totient is φ = 63491040.

The previous prime is 214103137. The next prime is 214103161. The reversal of 214103142 is 241301412.

214103142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24084 + ... + 31752.

It is an arithmetic number, because the mean of its divisors is an integer number (8283600).

Almost surely, 2214103142 is an apocalyptic number.

214103142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214103142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265075200).

214103142 is an abundant number, since it is smaller than the sum of its proper divisors (316047258).

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

214103142 is a wasteful number, since it uses less digits than its factorization.

214103142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214103142 is about 14632.2637346379. The cubic root of 214103142 is about 598.2384834937.

Adding to 214103142 its reverse (241301412), we get a palindrome (455404554).

The spelling of 214103142 in words is "two hundred fourteen million, one hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1269 1551 2538 3102 4653 7669 9306 13959 15338 23007 27918 46014 69021 84359 138042 168718 207063 253077 360443 414126 506154 720886 759231 1081329 1518462 2162658 2277693 3243987 3964873 4555386 6487974 7929746 9731961 11894619 19463922 23789238 35683857 71367714 107051571 214103142