Search a number
-
+
232044672 = 27331101193
BaseRepresentation
bin11011101010010…
…11100010000000
3121011122002110010
431311023202000
5433400412142
635005304520
75515230036
oct1565134200
9534562403
10232044672
11109a8a662
1265865140
13390c6b52
1422b64556
1515588e9c
hexdd4b880

232044672 has 128 divisors (see below), whose sum is σ = 645880320. Its totient is φ = 73728000.

The previous prime is 232044647. The next prime is 232044697. The reversal of 232044672 is 276440232.

It is an interprime number because it is at equal distance from previous prime (232044647) and next prime (232044697).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent 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, 1202208 + ... + 1202400.

It is an arithmetic number, because the mean of its divisors is an integer number (5045940).

Almost surely, 2232044672 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 232044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322940160).

232044672 is an abundant number, since it is smaller than the sum of its proper divisors (413835648).

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

232044672 is a wasteful number, since it uses less digits than its factorization.

232044672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 232044672 is about 15233.0125713859. The cubic root of 232044672 is about 614.5028012662.

The spelling of 232044672 in words is "two hundred thirty-two million, forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 101 124 128 186 192 193 202 248 303 372 384 386 404 496 579 606 744 772 808 992 1158 1212 1488 1544 1616 1984 2316 2424 2976 3088 3131 3232 3968 4632 4848 5952 5983 6176 6262 6464 9264 9393 9696 11904 11966 12352 12524 12928 17949 18528 18786 19392 19493 23932 24704 25048 35898 37056 37572 38784 38986 47864 50096 58479 71796 74112 75144 77972 95728 100192 116958 143592 150288 155944 191456 200384 233916 287184 300576 311888 382912 400768 467832 574368 601152 604283 623776 765824 935664 1148736 1202304 1208566 1247552 1812849 1871328 2297472 2417132 2495104 3625698 3742656 4834264 7251396 7485312 9668528 14502792 19337056 29005584 38674112 58011168 77348224 116022336 232044672