Search a number
-
+
2151141200 = 245213413681
BaseRepresentation
bin1000000000110111…
…1100111101010000
312112220202021222022
42000031330331100
513401143004300
6553242231012
7104210253455
oct20015747520
95486667868
102151141200
11a0429924a
125004b5468
13283885820
1416599d82c
15c8cba285
hex8037cf50

2151141200 has 60 divisors (see below), whose sum is σ = 5565677628. Its totient is φ = 794265600.

The previous prime is 2151141199. The next prime is 2151141229. The reversal of 2151141200 is 21411512.

It can be written as a sum of positive squares in 6 ways, for example, as 117852736 + 2033288464 = 10856^2 + 45092^2 .

It is a congruent number.

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, 201641 + ... + 212040.

Almost surely, 22151141200 is an apocalyptic number.

2151141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2151141200 is an abundant number, since it is smaller than the sum of its proper divisors (3414536428).

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

2151141200 is a wasteful number, since it uses less digits than its factorization.

2151141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413712 (or 413701 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 2151141200 is about 46380.3967210286. The cubic root of 2151141200 is about 1290.8911975663.

Adding to 2151141200 its reverse (21411512), we get a palindrome (2172552712).

The spelling of 2151141200 in words is "two billion, one hundred fifty-one million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 413681 827362 1654724 2068405 3309448 4136810 5377853 6618896 8273620 10342025 10755706 16547240 20684050 21511412 26889265 33094480 41368100 43022824 53778530 82736200 86045648 107557060 134446325 165472400 215114120 268892650 430228240 537785300 1075570600 2151141200