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232820224 = 2971319263
BaseRepresentation
bin11011110000010…
…00111000000000
3121020002111022021
431320020320000
5434100221344
635034051224
75524640110
oct1570107000
9536074267
10232820224
1110a46a30a
1265b79b14
1339308b60
1422cc7040
151568db84
hexde08e00

232820224 has 160 divisors (see below), whose sum is σ = 604961280. Its totient is φ = 86925312.

The previous prime is 232820221. The next prime is 232820233. The reversal of 232820224 is 422028232.

It is a happy number.

232820224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232820221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885117 + ... + 885379.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2232820224 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 232820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

232820224 is an abundant number, since it is smaller than the sum of its proper divisors (372141056).

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

232820224 is a wasteful number, since it uses less digits than its factorization.

232820224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 232820224 is about 15258.4476274620. The cubic root of 232820224 is about 615.1866479110.

Adding to 232820224 its reverse (422028232), we get a palindrome (654848456).

The spelling of 232820224 in words is "two hundred thirty-two million, eight hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 256 263 266 304 364 416 448 494 512 526 532 608 728 832 896 988 1052 1064 1216 1456 1664 1729 1792 1841 1976 2104 2128 2432 2912 3328 3419 3458 3584 3682 3952 4208 4256 4864 4997 5824 6656 6838 6916 7364 7904 8416 8512 9728 9994 11648 13676 13832 14728 15808 16832 17024 19988 23296 23933 27352 27664 29456 31616 33664 34048 34979 39976 46592 47866 54704 55328 58912 63232 64961 67328 68096 69958 79952 95732 109408 110656 117824 126464 129922 134656 139916 159904 191464 218816 221312 235648 259844 279832 319808 382928 437632 442624 454727 471296 519688 559664 639616 765856 875264 885248 909454 942592 1039376 1119328 1279232 1531712 1750528 1818908 2078752 2238656 2558464 3063424 3637816 4157504 4477312 6126848 7275632 8315008 8954624 12253696 14551264 16630016 17909248 29102528 33260032 58205056 116410112 232820224