Search a number
-
+
2094461200 = 24521317192943
BaseRepresentation
bin111110011010110…
…1111000100010000
312101222002122122001
41330311233010100
513242140224300
6543455323344
7102621424606
oct17465570420
95358078561
102094461200
119852a5777
124a5520554
13274bcba70
1415c247876
15c3d2116a
hex7cd6f110

2094461200 has 480 divisors, whose sum is σ = 6393340800. Its totient is φ = 650280960.

The previous prime is 2094461197. The next prime is 2094461203. The reversal of 2094461200 is 21644902.

It is an interprime number because it is at equal distance from previous prime (2094461197) and next prime (2094461203).

It is not an unprimeable number, because it can be changed into a prime (2094461203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48708379 + ... + 48708421.

It is an arithmetic number, because the mean of its divisors is an integer number (13319460).

Almost surely, 22094461200 is an apocalyptic number.

2094461200 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 2094461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196670400).

2094461200 is an abundant number, since it is smaller than the sum of its proper divisors (4298879600).

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

2094461200 is a wasteful number, since it uses less digits than its factorization.

2094461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2094461200 is about 45765.2837858567. The cubic root of 2094461200 is about 1279.4523210343.

The spelling of 2094461200 in words is "two billion, ninety-four million, four hundred sixty-one thousand, two hundred".