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230341445532 = 22321117237114431
BaseRepresentation
bin1101011010000101101…
…0111000011110011100
3211000112220001211002100
43112201122320132130
512233214402224112
6253452320325100
722433034660612
oct3264132703634
9730486054070
10230341445532
1189761817320
1238784a73790
131894b363843
14b211a0b6b2
155ed20472dc
hex35a16b879c

230341445532 has 144 divisors (see below), whose sum is σ = 672878029824. Its totient is φ = 65662272000.

The previous prime is 230341445527. The next prime is 230341445533. The reversal of 230341445532 is 235544143032.

230341445532 is a `hidden beast` number, since 2 + 30 + 34 + 1 + 44 + 553 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230341445533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15954357 + ... + 15968787.

It is an arithmetic number, because the mean of its divisors is an integer number (4672764096).

Almost surely, 2230341445532 is an apocalyptic number.

230341445532 is a gapful number since it is divisible by the number (22) 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 230341445532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336439014912).

230341445532 is an abundant number, since it is smaller than the sum of its proper divisors (442536584292).

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

230341445532 is a wasteful number, since it uses less digits than its factorization.

230341445532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16840 (or 16835 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 230341445532 its reverse (235544143032), we get a palindrome (465885588564).

The spelling of 230341445532 in words is "two hundred thirty billion, three hundred forty-one million, four hundred forty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 2371 3366 4742 6732 7113 9484 14226 14431 21339 26081 28452 28862 40307 42678 43293 52162 57724 78243 80614 85356 86586 104324 120921 129879 156486 158741 161228 173172 234729 241842 245327 259758 312972 317482 362763 443377 469458 476223 483684 490654 519516 634964 725526 735981 886754 938916 952446 981308 1330131 1428669 1451052 1471962 1773508 1904892 2207943 2660262 2698597 2857338 2943924 3990393 4415886 5320524 5397194 5714676 7980786 8095791 8831772 10794388 15961572 16191582 24287373 32383164 34215901 48574746 68431802 97149492 102647703 136863604 205295406 307943109 376374911 410590812 581670317 615886218 752749822 1129124733 1163340634 1231772436 1505499644 1745010951 2258249466 2326681268 3387374199 3490021902 4516498932 5235032853 6398373487 6774748398 6980043804 10470065706 12796746974 13549496796 19195120461 20940131412 25593493948 38390240922 57585361383 76780481844 115170722766 230341445532