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2132300352 = 263713122041
BaseRepresentation
bin111111100011000…
…0101001001000000
312111121022002012010
41333012011021000
513331332102402
6551330332520
7103561153050
oct17706051100
95447262163
102132300352
119a469a8a6
124b612a140
1327c9b9bb0
14163297560
15c72e7a6c
hex7f185240

2132300352 has 112 divisors (see below), whose sum is σ = 6943701632. Its totient is φ = 562360320.

The previous prime is 2132300351. The next prime is 2132300363. The reversal of 2132300352 is 2530032312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×21323003522 = 9093409582278647808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2132300351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43549 + ... + 78492.

It is an arithmetic number, because the mean of its divisors is an integer number (61997336).

Almost surely, 22132300352 is an apocalyptic number.

It is an amenable number.

2132300352 is an abundant number, since it is smaller than the sum of its proper divisors (4811401280).

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

2132300352 is a wasteful number, since it uses less digits than its factorization.

2132300352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122076 (or 122066 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 2132300352 is about 46176.8378302369. The cubic root of 2132300352 is about 1287.1113683225. Note that the first 3 decimals are identical.

Adding to 2132300352 its reverse (2530032312), we get a palindrome (4662332664).

The spelling of 2132300352 in words is "two billion, one hundred thirty-two million, three hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 122041 244082 366123 488164 732246 854287 976328 1464492 1586533 1708574 1952656 2562861 2928984 3173066 3417148 3905312 4759599 5125722 5857968 6346132 6834296 7810624 9519198 10251444 11105731 11715936 12692264 13668592 19038396 20502888 22211462 23431872 25384528 27337184 33317193 38076792 41005776 44422924 50769056 54674368 66634386 76153584 82011552 88845848 101538112 133268772 152307168 164023104 177691696 266537544 304614336 355383392 533075088 710766784 1066150176 2132300352