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216344142 = 233717131257
BaseRepresentation
bin11001110010100…
…10011001001110
3120002002102101000
430321102121032
5420341003032
633245001130
75234615640
oct1471223116
9502072330
10216344142
11101136613
12605531a6
1335a8a6b1
1420a38890
1513ed6e7c
hexce5264e

216344142 has 128 divisors (see below), whose sum is σ = 588487680. Its totient is φ = 57507840.

The previous prime is 216344131. The next prime is 216344153. The reversal of 216344142 is 241443612.

It is a happy number.

216344142 is a `hidden beast` number, since 21 + 634 + 4 + 1 + 4 + 2 = 666.

216344142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216344131) and next prime (216344153).

It is a super-3 number, since 3×2163441423 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 841678 + ... + 841934.

It is an arithmetic number, because the mean of its divisors is an integer number (4597560).

Almost surely, 2216344142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216344142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294243840).

216344142 is an abundant number, since it is smaller than the sum of its proper divisors (372143538).

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

216344142 is a wasteful number, since it uses less digits than its factorization.

216344142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 216344142 is about 14708.6417455862. The cubic root of 216344142 is about 600.3184809199.

Adding to 216344142 its reverse (241443612), we get a palindrome (457787754).

The spelling of 216344142 in words is "two hundred sixteen million, three hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 131 153 189 238 257 262 306 357 378 393 459 514 714 771 786 917 918 1071 1179 1542 1799 1834 2142 2227 2313 2358 2751 3213 3537 3598 4369 4454 4626 5397 5502 6426 6681 6939 7074 8253 8738 10794 13107 13362 13878 15589 16191 16506 20043 24759 26214 30583 31178 32382 33667 39321 40086 46767 48573 49518 60129 61166 67334 78642 91749 93534 97146 101001 117963 120258 140301 183498 202002 235669 235926 275247 280602 303003 420903 471338 550494 572339 606006 707007 825741 841806 909009 1144678 1414014 1651482 1717017 1818018 2121021 3434034 4006373 4242042 5151051 6363063 8012746 10302102 12019119 12726126 15453153 24038238 30906306 36057357 72114714 108172071 216344142