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230345340544 = 27111910780471
BaseRepresentation
bin1101011010000110100…
…1101111011010000000
3211000120011101201001001
43112201221233122000
512233221401344134
6253452540021344
722433113042414
oct3264151573200
9730504351031
10230345340544
1189763a37740
1238786231854
131894c0c8697
14b212342d44
155ed2566414
hex35a1a6f680

230345340544 has 128 divisors (see below), whose sum is σ = 531887731200. Its totient is φ = 98263526400.

The previous prime is 230345340539. The next prime is 230345340557. The reversal of 230345340544 is 445043543032.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2822229 + ... + 2902699.

It is an arithmetic number, because the mean of its divisors is an integer number (4155372900).

Almost surely, 2230345340544 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 230345340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265943865600).

230345340544 is an abundant number, since it is smaller than the sum of its proper divisors (301542390656).

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

230345340544 is a wasteful number, since it uses less digits than its factorization.

230345340544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80622 (or 80610 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 37.

Adding to 230345340544 its reverse (445043543032), we get a palindrome (675388883576).

The spelling of 230345340544 in words is "two hundred thirty billion, three hundred forty-five million, three hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 107 128 152 176 209 214 304 352 418 428 608 704 836 856 1177 1216 1408 1672 1712 2033 2354 2432 3344 3424 4066 4708 6688 6848 8132 9416 13376 13696 16264 18832 22363 26752 32528 37664 44726 65056 75328 80471 89452 130112 150656 160942 178904 260224 321884 357808 643768 715616 885181 1287536 1431232 1528949 1770362 2575072 2862464 3057898 3540724 5150144 6115796 7081448 8610397 10300288 12231592 14162896 16818439 17220794 24463184 28325792 33636878 34441588 48926368 56651584 67273756 68883176 94714367 97852736 113303168 134547512 137766352 163597543 189428734 195705472 269095024 275532704 327195086 378857468 538190048 551065408 654390172 757714936 1076380096 1102130816 1308780344 1515429872 1799572973 2152760192 2617560688 3030859744 3599145946 5235121376 6061719488 7198291892 10470242752 12123438976 14396583784 20940485504 28793167568 57586335136 115172670272 230345340544