Search a number
-
+
230165605264 = 24731163406699
BaseRepresentation
bin1101011001011011110…
…0000110101110010000
3211000002122012012120211
43112112330012232100
512232334343332024
6253423035413504
722425501236020
oct3262674065620
9730078165524
10230165605264
1189681535991
1238735bb4294
1318920ab814a
14b1d6517a80
155ec18b1594
hex3596f06b90

230165605264 has 80 divisors (see below), whose sum is σ = 529321676800. Its totient is φ = 94874509440.

The previous prime is 230165605231. The next prime is 230165605339. The reversal of 230165605264 is 462506561032.

It is a happy number.

230165605264 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362587 + ... + 769285.

It is an arithmetic number, because the mean of its divisors is an integer number (6616520960).

Almost surely, 2230165605264 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 230165605264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264660838400).

230165605264 is an abundant number, since it is smaller than the sum of its proper divisors (299156071536).

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

230165605264 is a wasteful number, since it uses less digits than its factorization.

230165605264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406908 (or 406902 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 230165605264 in words is "two hundred thirty billion, one hundred sixty-five million, six hundred five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 163 217 248 326 434 496 652 868 1141 1304 1736 2282 2608 3472 4564 5053 9128 10106 18256 20212 35371 40424 70742 80848 141484 282968 406699 565936 813398 1626796 2846893 3253592 5693786 6507184 11387572 12607669 22775144 25215338 45550288 50430676 66291937 88253683 100861352 132583874 176507366 201722704 265167748 353014732 464043559 530335496 706029464 928087118 1060670992 1412058928 1856174236 2055050047 3712348472 4110100094 7424696944 8220200188 14385350329 16440400376 28770700658 32880800752 57541401316 115082802632 230165605264