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2320203132 = 223213103127379
BaseRepresentation
bin1000101001001011…
…0111110101111100
312222200212112100100
42022102313311330
514222433000012
61022122001100
7111332254422
oct21222676574
95880775310
102320203132
11a9076aa55
12549046190
132ac8c9b80
1418020b112
15d8a628dc
hex8a4b7d7c

2320203132 has 144 divisors (see below), whose sum is σ = 6444605440. Its totient is φ = 699560064.

The previous prime is 2320203121. The next prime is 2320203133. The reversal of 2320203132 is 2313020232.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320203133) 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, 6121719 + ... + 6122097.

Almost surely, 22320203132 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 2320203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222302720).

2320203132 is an abundant number, since it is smaller than the sum of its proper divisors (4124402308).

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

2320203132 is a wasteful number, since it uses less digits than its factorization.

2320203132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 627 counting only the distinct ones).

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

The square root of 2320203132 is about 48168.4869183162. The cubic root of 2320203132 is about 1323.8598250360.

Adding to 2320203132 its reverse (2313020232), we get a palindrome (4633223364).

The spelling of 2320203132 in words is "two billion, three hundred twenty million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 127 156 206 234 254 309 379 381 412 468 508 618 758 762 927 1137 1143 1236 1339 1516 1524 1651 1854 2274 2286 2678 3302 3411 3708 4017 4548 4572 4927 4953 5356 6604 6822 8034 9854 9906 12051 13081 13644 14781 14859 16068 19708 19812 24102 26162 29562 29718 39037 39243 44343 48133 48204 52324 59124 59436 78074 78486 88686 96266 117111 117729 144399 156148 156972 170053 177372 192532 234222 235458 288798 340106 351333 433197 468444 470916 507481 510159 577596 625729 680212 702666 866394 1014962 1020318 1251458 1405332 1522443 1530477 1732788 1877187 2029924 2040636 2502916 3044886 3060954 3754374 4567329 4957699 5631561 6089772 6121908 7508748 9134658 9915398 11263122 14873097 18269316 19830796 22526244 29746194 44619291 59492388 64450087 89238582 128900174 178477164 193350261 257800348 386700522 580050783 773401044 1160101566 2320203132