Search a number
-
+
332132452000 = 2553274130293
BaseRepresentation
bin1001101010101001010…
…00110000011010100000
31011202021212210201022221
410311110220300122200
520420201401431000
6412325103040424
732665360155406
oct4652450603240
91152255721287
10332132452000
11118947124058
12544525a0114
1325420c3490b
141210a883476
15898d61061a
hex4d54a306a0

332132452000 has 96 divisors (see below), whose sum is σ = 816374102544. Its totient is φ = 132800128000.

The previous prime is 332132451971. The next prime is 332132452013. The reversal of 332132452000 is 254231233.

It can be written as a sum of positive squares in 8 ways, for example, as 397922704 + 331734529296 = 19948^2 + 575964^2 .

It is a super-2 number, since 2×3321324520002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10948854 + ... + 10979146.

Almost surely, 2332132452000 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 332132452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408187051272).

332132452000 is an abundant number, since it is smaller than the sum of its proper divisors (484241650544).

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

332132452000 is a wasteful number, since it uses less digits than its factorization.

332132452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33059 (or 33041 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 332132452000 its reverse (254231233), we get a palindrome (332386683233).

The spelling of 332132452000 in words is "three hundred thirty-two billion, one hundred thirty-two million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2741 4000 5482 10964 13705 21928 27410 30293 43856 54820 60586 68525 87712 109640 121172 137050 151465 219280 242344 274100 302930 342625 438560 484688 548200 605860 685250 757325 969376 1096400 1211720 1370500 1514650 2192800 2423440 2741000 3029300 3786625 4846880 5482000 6058600 7573250 10964000 12117200 15146500 24234400 30293000 60586000 83033113 121172000 166066226 332132452 415165565 664264904 830331130 1328529808 1660662260 2075827825 2657059616 3321324520 4151655650 6642649040 8303311300 10379139125 13285298080 16606622600 20758278250 33213245200 41516556500 66426490400 83033113000 166066226000 332132452000