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230001222330 = 233511229333773
BaseRepresentation
bin1101011000110100100…
…1000010001010111010
3210222200011212200121000
43112031021002022322
512232020303103310
6253354444225430
722421434063335
oct3261511021272
9728604780530
10230001222330
11895a776a620
12386aab3b276
13188c5a21739
14b1bc76761c
155eb22404c0
hex358d2422ba

230001222330 has 128 divisors (see below), whose sum is σ = 669406083840. Its totient is φ = 55731905280.

The previous prime is 230001222307. The next prime is 230001222371. The reversal of 230001222330 is 33222100032.

It is a happy number.

230001222330 is a `hidden beast` number, since 2 + 300 + 0 + 12 + 22 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 6793324 + ... + 6827096.

It is an arithmetic number, because the mean of its divisors is an integer number (5229735030).

Almost surely, 2230001222330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230001222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334703041920).

230001222330 is an abundant number, since it is smaller than the sum of its proper divisors (439404861510).

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

230001222330 is a wasteful number, since it uses less digits than its factorization.

230001222330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36093 (or 36087 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230001222330 its reverse (33222100032), we get a palindrome (263223322362).

The spelling of 230001222330 in words is "two hundred thirty billion, one million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2293 2970 4586 6879 11465 13758 20637 22930 25223 33773 34395 41274 50446 61911 67546 68790 75669 101319 103185 123822 126115 151338 168865 202638 206370 227007 252230 303957 309555 337730 371503 378345 454014 506595 607914 619110 681021 743006 756690 911871 1013190 1114509 1135035 1362042 1519785 1823742 1857515 2229018 2270070 3039570 3343527 3405105 3715030 4559355 5572545 6687054 6810210 9118710 10030581 11145090 16717635 20061162 33435270 50152905 77441489 100305810 154882978 232324467 387207445 464648934 696973401 774414890 851856379 1161622335 1393946802 1703712758 2090920203 2323244670 2555569137 3484867005 4181840406 4259281895 5111138274 6969734010 7666707411 8518563790 10454601015 12777845685 15333414822 20909202030 23000122233 25555691370 38333537055 46000244466 76667074110 115000611165 230001222330