Search a number
-
+
230021351460 = 2232529109740169
BaseRepresentation
bin1101011000111001010…
…1110100100000100100
3210222201120202100120100
43112032111310200210
512232040431221320
6253400443504100
722422100141005
oct3261625644044
9728646670510
10230021351460
118960806896a
12386b5828030
13188c9c4b874
14b1c12c71ac
155eb3db9790
hex358e574824

230021351460 has 144 divisors (see below), whose sum is σ = 722467090800. Its totient is φ = 59168428032.

The previous prime is 230021351419. The next prime is 230021351491. The reversal of 230021351460 is 64153120032.

230021351460 is a `hidden beast` number, since 2 + 300 + 2 + 1 + 351 + 4 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5663766564 + 224357584896 = 75258^2 + 473664^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5706256 + ... + 5746424.

It is an arithmetic number, because the mean of its divisors is an integer number (5017132575).

Almost surely, 2230021351460 is an apocalyptic number.

230021351460 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 230021351460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361233545400).

230021351460 is an abundant number, since it is smaller than the sum of its proper divisors (492445739340).

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

230021351460 is a wasteful number, since it uses less digits than its factorization.

230021351460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41310 (or 41305 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 230021351460 its reverse (64153120032), we get a palindrome (294174471492).

The spelling of 230021351460 in words is "two hundred thirty billion, twenty-one million, three hundred fifty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1097 1305 1740 2194 2610 3291 4388 5220 5485 6582 9873 10970 13164 16455 19746 21940 31813 32910 39492 40169 49365 63626 65820 80338 95439 98730 120507 127252 159065 160676 190878 197460 200845 241014 286317 318130 361521 381756 401690 477195 482028 572634 602535 636260 723042 803380 954390 1145268 1164901 1205070 1431585 1446084 1807605 1908780 2329802 2410140 2863170 3494703 3615210 4659604 5726340 5824505 6989406 7230420 10484109 11649010 13978812 17473515 20968218 23298020 34947030 41936436 44065393 52420545 69894060 88130786 104841090 132196179 176261572 209682180 220326965 264392358 396588537 440653930 528784716 660980895 793177074 881307860 1277896397 1321961790 1586354148 1982942685 2555792794 2643923580 3833689191 3965885370 5111585588 6389481985 7667378382 7931770740 11501067573 12778963970 15334756764 19168445955 23002135146 25557927940 38336891910 46004270292 57505337865 76673783820 115010675730 230021351460