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23094432 = 2532175389
BaseRepresentation
bin101100000011…
…0010010100000
31121110022121100
41120012102200
521403010212
62142554400
7400204464
oct130062240
947408540
1023094432
1112044209
127898a00
134a27a5a
1430d24a4
152062bdc
hex16064a0

23094432 has 144 divisors (see below), whose sum is σ = 71646120. Its totient is φ = 7028736.

The previous prime is 23094427. The next prime is 23094451. The reversal of 23094432 is 23449032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21123216 + 1971216 = 4596^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 23094396 and 23094405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259444 + ... + 259532.

Almost surely, 223094432 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 23094432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35823060).

23094432 is an abundant number, since it is smaller than the sum of its proper divisors (48551688).

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

23094432 is a wasteful number, since it uses less digits than its factorization.

23094432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23094432 is about 4805.6666551062. Note that the first 4 decimals coincide. The cubic root of 23094432 is about 284.7753724023.

The spelling of 23094432 in words is "twenty-three million, ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 53 68 72 89 96 102 106 136 144 153 159 178 204 212 267 272 288 306 318 356 408 424 477 534 544 612 636 712 801 816 848 901 954 1068 1224 1272 1424 1513 1602 1632 1696 1802 1908 2136 2448 2544 2703 2848 3026 3204 3604 3816 4272 4539 4717 4896 5088 5406 6052 6408 7208 7632 8109 8544 9078 9434 10812 12104 12816 13617 14151 14416 15264 16218 18156 18868 21624 24208 25632 27234 28302 28832 32436 36312 37736 42453 43248 48416 54468 56604 64872 72624 75472 80189 84906 86496 108936 113208 129744 145248 150944 160378 169812 217872 226416 240567 259488 320756 339624 435744 452832 481134 641512 679248 721701 962268 1283024 1358496 1443402 1924536 2566048 2886804 3849072 5773608 7698144 11547216 23094432