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230846496 = 25329283293
BaseRepresentation
bin11011100001001…
…11000000100000
3121002101012212020
431300213000200
5433044041441
634523501440
75502106566
oct1560470040
9532335766
10230846496
11109341431
1265387880
1338a9767a
1422931a36
15153ede66
hexdc27020

230846496 has 96 divisors (see below), whose sum is σ = 631229760. Its totient is φ = 73780224.

The previous prime is 230846471. The next prime is 230846521. The reversal of 230846496 is 694648032.

It is a happy number.

230846496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230846471) and next prime (230846521).

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

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, 787726 + ... + 788018.

It is an arithmetic number, because the mean of its divisors is an integer number (6575310).

Almost surely, 2230846496 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 230846496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315614880).

230846496 is an abundant number, since it is smaller than the sum of its proper divisors (400383264).

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

230846496 is a wasteful number, since it uses less digits than its factorization.

230846496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 230846496 is about 15193.6334035016. The cubic root of 230846496 is about 613.4433020629.

The spelling of 230846496 in words is "two hundred thirty million, eight hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 283 293 348 464 566 586 696 849 879 928 1132 1172 1392 1698 1758 2264 2344 2784 3396 3516 4528 4688 6792 7032 8207 8497 9056 9376 13584 14064 16414 16994 24621 25491 27168 28128 32828 33988 49242 50982 65656 67976 82919 98484 101964 131312 135952 165838 196968 203928 248757 262624 271904 331676 393936 407856 497514 663352 787872 815712 995028 1326704 1990056 2404651 2653408 3980112 4809302 7213953 7960224 9618604 14427906 19237208 28855812 38474416 57711624 76948832 115423248 230846496