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234200142 = 232117271627
BaseRepresentation
bin11011111010110…
…01110001001110
3121022200121012100
431331121301032
5434423401032
635123415530
75542445151
oct1575316116
9538617170
10234200142
11110222040
12665245a6
133969cc87
1423165c98
151586297c
hexdf59c4e

234200142 has 48 divisors (see below), whose sum is σ = 554666112. Its totient is φ = 70828560.

The previous prime is 234200117. The next prime is 234200147. The reversal of 234200142 is 241002432.

234200142 is digitally balanced in base 3, 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 not an unprimeable number, because it can be changed into a prime (234200147) 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 23 ways as a sum of consecutive naturals, for example, 143133 + ... + 144759.

It is an arithmetic number, because the mean of its divisors is an integer number (11555544).

Almost surely, 2234200142 is an apocalyptic number.

234200142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

234200142 is an abundant number, since it is smaller than the sum of its proper divisors (320465970).

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

234200142 is a wasteful number, since it uses less digits than its factorization.

234200142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 234200142 is about 15303.5989884733. The cubic root of 234200142 is about 616.3996517565.

Adding to 234200142 its reverse (241002432), we get a palindrome (475202574).

The spelling of 234200142 in words is "two hundred thirty-four million, two hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 727 1454 1627 2181 3254 4362 4881 6543 7997 9762 13086 14643 15994 17897 23991 29286 35794 47982 53691 71973 107382 143946 161073 322146 1182829 2365658 3548487 7096974 10645461 13011119 21290922 26022238 39033357 78066714 117100071 234200142