Search a number
-
+
2970915000 = 233543753101
BaseRepresentation
bin1011000100010100…
…1001000010111000
321200001022010012220
42301011021002320
522041023240000
61210445004040
7133423234524
oct26105110270
97601263186
102970915000
111295005459
126aab53620
1338466cb91
142027d4d84
15125c4b1a0
hexb11490b8

2970915000 has 320 divisors, whose sum is σ = 9807985440. Its totient is φ = 748800000.

The previous prime is 2970914959. The next prime is 2970915011. The reversal of 2970915000 is 5190792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29414950 + ... + 29415050.

Almost surely, 22970915000 is an apocalyptic number.

2970915000 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 2970915000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903992720).

2970915000 is an abundant number, since it is smaller than the sum of its proper divisors (6837070440).

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

2970915000 is a wasteful number, since it uses less digits than its factorization.

2970915000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 2970915000 is about 54506.1005759906. The cubic root of 2970915000 is about 1437.5735564125.

The spelling of 2970915000 in words is "two billion, nine hundred seventy million, nine hundred fifteen thousand".