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230251525320 = 233524125513121
BaseRepresentation
bin1101011001110000001…
…1110111010011001000
3211000022121212101202010
43112130003313103020
512233023342302240
6253435345135520
722430563446555
oct3263403672310
9730277771663
10230251525320
1189715a8a9a3
123875a92a5a0
131893583c00b
14b203ac1a2c
155ec91d4280
hex359c0f74c8

230251525320 has 128 divisors (see below), whose sum is σ = 694115009280. Its totient is φ = 61102080000.

The previous prime is 230251525319. The next prime is 230251525333. The reversal of 230251525320 is 23525152032.

230251525320 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 a super-2 number, since 2×2302515253202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 73773360 + ... + 73776480.

It is an arithmetic number, because the mean of its divisors is an integer number (5422773510).

Almost surely, 2230251525320 is an apocalyptic number.

230251525320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230251525320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347057504640).

230251525320 is an abundant number, since it is smaller than the sum of its proper divisors (463863483960).

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

230251525320 is a wasteful number, since it uses less digits than its factorization.

230251525320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 230251525320 its reverse (23525152032), we get a palindrome (253776677352).

The spelling of 230251525320 in words is "two hundred thirty billion, two hundred fifty-one million, five hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2551 2892 3121 3615 4820 5102 5784 6242 7230 7653 9363 9640 10204 12484 12755 14460 15306 15605 18726 20408 24968 25510 28920 30612 31210 37452 38265 46815 51020 61224 62420 74904 76530 93630 102040 124840 153060 187260 306120 374520 614791 752161 1229582 1504322 1844373 2256483 2459164 3008644 3073955 3688746 3760805 4512966 4918328 6017288 6147910 7377492 7521610 7961671 9025932 9221865 11282415 12295820 14754984 15043220 15923342 18051864 18443730 22564830 23885013 24591640 30086440 31846684 36887460 39808355 45129660 47770026 63693368 73774920 79616710 90259320 95540052 119425065 159233420 191080104 238850130 318466840 477700260 955400520 1918762711 3837525422 5756288133 7675050844 9593813555 11512576266 15350101688 19187627110 23025152532 28781440665 38375254220 46050305064 57562881330 76750508440 115125762660 230251525320