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2132334300 = 22352611091069
BaseRepresentation
bin111111100011000…
…1101011011011100
312111121100210202110
41333012031123130
513331334144200
6551331154020
7103561354035
oct17706153334
95447323673
102132334300
119a4713358
124b6145910
1327c9cc495
141632a5a8c
15c7302b50
hex7f18d6dc

2132334300 has 144 divisors (see below), whose sum is σ = 6334143200. Its totient is φ = 553651200.

The previous prime is 2132334277. The next prime is 2132334311. The reversal of 2132334300 is 34332312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1994166 + ... + 1995234.

Almost surely, 22132334300 is an apocalyptic number.

2132334300 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 2132334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167071600).

2132334300 is an abundant number, since it is smaller than the sum of its proper divisors (4201808900).

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

2132334300 is a wasteful number, since it uses less digits than its factorization.

2132334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2132334300 is about 46177.2054156594. The cubic root of 2132334300 is about 1287.1181989151.

Adding to 2132334300 its reverse (34332312), we get a palindrome (2166666612).

The spelling of 2132334300 in words is "two billion, one hundred thirty-two million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 109 122 150 183 218 244 300 305 327 366 436 545 610 654 732 915 1069 1090 1220 1308 1525 1635 1830 2138 2180 2725 3050 3207 3270 3660 4276 4575 5345 5450 6100 6414 6540 6649 8175 9150 10690 10900 12828 13298 16035 16350 18300 19947 21380 26596 26725 32070 32700 33245 39894 53450 64140 65209 66490 79788 80175 99735 106900 116521 130418 132980 160350 166225 195627 199470 233042 260836 320700 326045 332450 349563 391254 398940 466084 498675 582605 652090 664900 699126 782508 978135 997350 1165210 1304180 1398252 1630225 1747815 1956270 1994700 2330420 2913025 3260450 3495630 3912540 4890675 5826050 6520900 6991260 7107781 8739075 9781350 11652100 14215562 17478150 19562700 21323343 28431124 34956300 35538905 42646686 71077810 85293372 106616715 142155620 177694525 213233430 355389050 426466860 533083575 710778100 1066167150 2132334300