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230424672 = 25323791321
BaseRepresentation
bin11011011110000…
…00000001100000
3121001120210020010
431233000001200
5432442042142
634510444520
75465402022
oct1557000140
9531523203
10230424672
11109083515
1265203740
133897a67a
1422862012
1515368e9c
hexdbc0060

230424672 has 96 divisors (see below), whose sum is σ = 639636480. Its totient is φ = 72483840.

The previous prime is 230424671. The next prime is 230424703. The reversal of 230424672 is 276424032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230424671) 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, 173772 + ... + 175092.

It is an arithmetic number, because the mean of its divisors is an integer number (6662880).

Almost surely, 2230424672 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 230424672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319818240).

230424672 is an abundant number, since it is smaller than the sum of its proper divisors (409211808).

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

230424672 is a wasteful number, since it uses less digits than its factorization.

230424672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1428 counting only the distinct ones).

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

The square root of 230424672 is about 15179.7454524112. The cubic root of 230424672 is about 613.0694275254.

The spelling of 230424672 in words is "two hundred thirty million, four hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 79 92 96 138 158 184 237 276 316 368 474 552 632 736 948 1104 1264 1321 1817 1896 2208 2528 2642 3634 3792 3963 5284 5451 7268 7584 7926 10568 10902 14536 15852 21136 21804 29072 30383 31704 42272 43608 58144 60766 63408 87216 91149 104359 121532 126816 174432 182298 208718 243064 313077 364596 417436 486128 626154 729192 834872 972256 1252308 1458384 1669744 2400257 2504616 2916768 3339488 4800514 5009232 7200771 9601028 10018464 14401542 19202056 28803084 38404112 57606168 76808224 115212336 230424672