[go: up one dir, main page]

Search a number
-
+
2132302112 = 25172972377
BaseRepresentation
bin111111100011000…
…0101100100100000
312111121022011121022
41333012011210200
513331332131422
6551330345012
7103561161143
oct17706054440
95447264538
102132302112
119a46a1156
124b612b168
1327c9ba935
1416329805a
15c72e8342
hex7f185920

2132302112 has 72 divisors (see below), whose sum is σ = 4507304004. Its totient is φ = 992673792.

The previous prime is 2132302093. The next prime is 2132302141. The reversal of 2132302112 is 2112032312.

It can be written as a sum of positive squares in 6 ways, for example, as 1515077776 + 617224336 = 38924^2 + 24844^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 895868 + ... + 898244.

Almost surely, 22132302112 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 2132302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253652002).

2132302112 is an abundant number, since it is smaller than the sum of its proper divisors (2375001892).

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

2132302112 is a wasteful number, since it uses less digits than its factorization.

2132302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2132302112 is about 46176.8568874063. The cubic root of 2132302112 is about 1287.1117224495. Note that the first 3 decimals are identical.

Adding to 2132302112 its reverse (2112032312), we get a palindrome (4244334424).

The spelling of 2132302112 in words is "two billion, one hundred thirty-two million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 97 136 194 272 289 388 544 578 776 1156 1552 1649 2312 2377 3104 3298 4624 4754 6596 9248 9508 13192 19016 26384 28033 38032 40409 52768 56066 76064 80818 112132 161636 224264 230569 323272 448528 461138 646544 686953 897056 922276 1293088 1373906 1844552 2747812 3689104 3919673 5495624 7378208 7839346 10991248 15678692 21982496 31357384 62714768 66634441 125429536 133268882 266537764 533075528 1066151056 2132302112