Search a number
-
+
5831922000 = 2435341151157
BaseRepresentation
bin1010110111001110…
…00001000101010000
3120001102210100000010
411123213001011100
543420433001000
62402410154520
7264343343022
oct53347010520
916042710003
105831922000
112522a71353
121169122a40
1371c30a528
143d477a012
15241ed6d50
hex15b9c1150

5831922000 has 320 divisors, whose sum is σ = 19511751168. Its totient is φ = 1497600000.

The previous prime is 5831921987. The next prime is 5831922001. The reversal of 5831922000 is 2291385.

It is a happy number.

It is a super-2 number, since 2×58319220002 = 68022628428168000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5831922001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37145922 + ... + 37146078.

Almost surely, 25831922000 is an apocalyptic number.

5831922000 is a gapful number since it is divisible by the number (50) 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 5831922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9755875584).

5831922000 is an abundant number, since it is smaller than the sum of its proper divisors (13679829168).

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

5831922000 is a wasteful number, since it uses less digits than its factorization.

5831922000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5831922000 is about 76367.0216782087. The cubic root of 5831922000 is about 1799.9919752729.

The spelling of 5831922000 in words is "five billion, eight hundred thirty-one million, nine hundred twenty-two thousand".