Search a number
-
+
2146914990 = 2335112353593
BaseRepresentation
bin111111111110111…
…0101001010101110
312112121210120201000
41333331311022232
513344102234430
6553011501130
7104126322243
oct17775651256
95477716630
102146914990
11a01972010
124babb77a6
13282a35ccc
141651bd5ca
15c8732e60
hex7ff752ae

2146914990 has 256 divisors, whose sum is σ = 6651279360. Its totient is φ = 487618560.

The previous prime is 2146914983. The next prime is 2146915003. The reversal of 2146914990 is 994196412.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3620134 + ... + 3620726.

It is an arithmetic number, because the mean of its divisors is an integer number (25981560).

Almost surely, 22146914990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146914990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325639680).

2146914990 is an abundant number, since it is smaller than the sum of its proper divisors (4504364370).

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

2146914990 is a wasteful number, since it uses less digits than its factorization.

2146914990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2146914990 is about 46334.8140171081. The cubic root of 2146914990 is about 1290.0452661239.

The spelling of 2146914990 in words is "two billion, one hundred forty-six million, nine hundred fourteen thousand, nine hundred ninety".