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230300726240 = 25513457242279
BaseRepresentation
bin1101011001111011111…
…1100011001111100000
3211000110001110001201102
43112132333203033200
512233123441214430
6253444303453532
722432031605514
oct3263677431740
9730401401642
10230300726240
1189740835312
12387732b72a8
1318942aa77a0
14b20a44c144
155ecd6a2345
hex359efe33e0

230300726240 has 96 divisors (see below), whose sum is σ = 587222758080. Its totient is φ = 84847693824.

The previous prime is 230300726239. The next prime is 230300726287. The reversal of 230300726240 is 42627003032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829421 + ... + 1071699.

It is an arithmetic number, because the mean of its divisors is an integer number (6116903730).

Almost surely, 2230300726240 is an apocalyptic number.

230300726240 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 230300726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293611379040).

230300726240 is an abundant number, since it is smaller than the sum of its proper divisors (356922031840).

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

230300726240 is a wasteful number, since it uses less digits than its factorization.

230300726240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242764 (or 242756 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

Adding to 230300726240 its reverse (42627003032), we get a palindrome (272927729272).

The spelling of 230300726240 in words is "two hundred thirty billion, three hundred million, seven hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 457 520 914 1040 1828 2080 2285 3656 4570 5941 7312 9140 11882 14624 18280 23764 29705 36560 47528 59410 73120 95056 118820 190112 237640 242279 475280 484558 950560 969116 1211395 1938232 2422790 3149627 3876464 4845580 6299254 7752928 9691160 12598508 15748135 19382320 25197016 31496270 38764640 50394032 62992540 100788064 110721503 125985080 221443006 251970160 442886012 503940320 553607515 885772024 1107215030 1439379539 1771544048 2214430060 2878759078 3543088096 4428860120 5757518156 7196897695 8857720240 11515036312 14393795390 17715440480 23030072624 28787590780 46060145248 57575181560 115150363120 230300726240