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234185532 = 223731139647
BaseRepresentation
bin11011111010101…
…10001100111100
3121022122212011020
431331112030330
5434422414112
635123224140
75542354440
oct1575261474
9538585136
10234185532
11110212069
1266518050
1339696429
1423160820
151585d48c
hexdf5633c

234185532 has 96 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 64186560.

The previous prime is 234185531. The next prime is 234185551. The reversal of 234185532 is 235581432.

It is a junction number, because it is equal to n+sod(n) for n = 234185493 and 234185502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234185531) 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 31 ways as a sum of consecutive naturals, for example, 361633 + ... + 362279.

It is an arithmetic number, because the mean of its divisors is an integer number (6773760).

Almost surely, 2234185532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234185532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

234185532 is an abundant number, since it is smaller than the sum of its proper divisors (416095428).

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

234185532 is a wasteful number, since it uses less digits than its factorization.

234185532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 234185532 is about 15303.1216423317. The cubic root of 234185532 is about 616.3868339644.

The spelling of 234185532 in words is "two hundred thirty-four million, one hundred eighty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 139 186 217 278 372 417 434 556 647 651 834 868 973 1294 1302 1668 1941 1946 2588 2604 2919 3882 3892 4309 4529 5838 7764 8618 9058 11676 12927 13587 17236 18116 20057 25854 27174 30163 40114 51708 54348 60171 60326 80228 89933 90489 120342 120652 140399 179866 180978 240684 269799 280798 359732 361956 421197 539598 561596 629531 842394 1079196 1259062 1684788 1888593 2518124 2787923 3777186 5575846 7554372 8363769 11151692 16727538 19515461 33455076 39030922 58546383 78061844 117092766 234185532