Search a number
-
+
232676416 = 26717137223
BaseRepresentation
bin11011101111001…
…01110001000000
3121012211012001001
431313211301000
5434031121131
635031021344
75523500620
oct1567456100
9535735031
10232676416
1110a381265
1265b0a854
133928856b
1422c8a880
1515661261
hexdde5c40

232676416 has 112 divisors (see below), whose sum is σ = 565318656. Its totient is φ = 92749824.

The previous prime is 232676393. The next prime is 232676417. The reversal of 232676416 is 614676232.

232676416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232676417) 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, 1043281 + ... + 1043503.

It is an arithmetic number, because the mean of its divisors is an integer number (5047488).

Almost surely, 2232676416 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 232676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282659328).

232676416 is an abundant number, since it is smaller than the sum of its proper divisors (332642240).

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

232676416 is a wasteful number, since it uses less digits than its factorization.

232676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 232676416 is about 15253.7344935593. The cubic root of 232676416 is about 615.0599593424.

The spelling of 232676416 in words is "two hundred thirty-two million, six hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 137 223 224 238 272 274 446 448 476 544 548 892 952 959 1088 1096 1561 1784 1904 1918 2192 2329 3122 3568 3791 3808 3836 4384 4658 6244 7136 7582 7616 7672 8768 9316 12488 14272 15164 15344 16303 18632 24976 26537 30328 30551 30688 32606 37264 49952 53074 60656 61102 61376 65212 74528 99904 106148 121312 122204 130424 149056 212296 213857 242624 244408 260848 424592 427714 488816 519367 521696 849184 855428 977632 1038734 1043392 1698368 1710856 1955264 2077468 3421712 3635569 4154936 6843424 7271138 8309872 13686848 14542276 16619744 29084552 33239488 58169104 116338208 232676416