Search a number
-
+
232234144 = 25173147293
BaseRepresentation
bin11011101011110…
…01110010100000
3121011222201100121
431311321302200
5433422443034
635013330024
75516646322
oct1565716240
9534881317
10232234144
1110a0a9a4a
1265936914
133916216c
1422bb3612
15155c51b4
hexdd79ca0

232234144 has 96 divisors (see below), whose sum is σ = 512096256. Its totient is φ = 103157760.

The previous prime is 232234139. The next prime is 232234153. The reversal of 232234144 is 441432232.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792462 + ... + 792754.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2232234144 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 232234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048128).

232234144 is an abundant number, since it is smaller than the sum of its proper divisors (279862112).

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

232234144 is a wasteful number, since it uses less digits than its factorization.

232234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 232234144 is about 15239.2304267637. The cubic root of 232234144 is about 614.6700095861.

Adding to 232234144 its reverse (441432232), we get a palindrome (673666376).

The spelling of 232234144 in words is "two hundred thirty-two million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 31 32 34 47 62 68 94 124 136 188 248 272 293 376 496 527 544 586 752 799 992 1054 1172 1457 1504 1598 2108 2344 2914 3196 4216 4688 4981 5828 6392 8432 9083 9376 9962 11656 12784 13771 16864 18166 19924 23312 24769 25568 27542 36332 39848 46624 49538 55084 72664 79696 99076 110168 145328 154411 159392 198152 220336 234107 290656 308822 396304 426901 440672 468214 617644 792608 853802 936428 1235288 1707604 1872856 2470576 3415208 3745712 4941152 6830416 7257317 7491424 13660832 14514634 29029268 58058536 116117072 232234144