Search a number
-
+
322430200004 = 221123897574729
BaseRepresentation
bin1001011000100100101…
…01100110100011000100
31010211020201022020200102
410230102111212203010
520240314112400004
6404042234103232
732203056323423
oct4542225464304
91124221266612
10322430200004
11114818495580
12525a527ab18
1324535b371c3
141186a0a92ba
1585c196911e
hex4b125668c4

322430200004 has 96 divisors (see below), whose sum is σ = 650524089600. Its totient is φ = 138399528960.

The previous prime is 322430200003. The next prime is 322430200009. The reversal of 322430200004 is 400002034223.

It is a super-2 number, since 2×3224302000042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (322430200003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68179112 + ... + 68183840.

It is an arithmetic number, because the mean of its divisors is an integer number (6776292600).

Almost surely, 2322430200004 is an apocalyptic number.

It is an amenable number.

322430200004 is an abundant number, since it is smaller than the sum of its proper divisors (328093889596).

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

322430200004 is a wasteful number, since it uses less digits than its factorization.

322430200004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 322430200004 its reverse (400002034223), we get a palindrome (722432234227).

The spelling of 322430200004 in words is "three hundred twenty-two billion, four hundred thirty million, two hundred thousand, four".

Divisors: 1 2 4 11 22 23 44 46 89 92 178 253 356 506 757 979 1012 1514 1958 2047 3028 3916 4094 4729 8188 8327 9458 16654 17411 18916 22517 33308 34822 45034 52019 67373 69644 90068 104038 108767 134746 191521 208076 217534 269492 383042 420881 435068 741103 766084 841762 1196437 1482206 1549579 1683524 2392874 2964412 3099158 3579853 4629691 4785748 6198316 7159706 9259382 9680263 14319412 17045369 18518764 19360526 34090738 38721052 39378383 68181476 78756766 82336619 106482893 157513532 164673238 212965786 318606917 329346476 425931572 637213834 905702809 1274427668 1811405618 3504676087 3622811236 7009352174 7327959091 14018704348 14655918182 29311836364 80607550001 161215100002 322430200004