Search a number
-
+
831974220 = 22335711217107
BaseRepresentation
bin110001100101101…
…110101101001100
32010222111200002000
4301211232231030
53200441133340
6214320032300
726421443550
oct6145565514
92128450060
10831974220
1139769a600
121b2762690
1310349964c
147c6cd860
154d090d30
hex3196eb4c

831974220 has 576 divisors, whose sum is σ = 3474938880. Its totient is φ = 161187840.

The previous prime is 831974207. The next prime is 831974257. The reversal of 831974220 is 22479138.

It is a super-2 number, since 2×8319742202 = 1384362205489216800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7775407 + ... + 7775513.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2831974220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831974220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737469440).

831974220 is an abundant number, since it is smaller than the sum of its proper divisors (2642964660).

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

831974220 is a wasteful number, since it uses less digits than its factorization.

831974220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 831974220 is about 28843.9633199046. The cubic root of 831974220 is about 940.5241606597.

The spelling of 831974220 in words is "eight hundred thirty-one million, nine hundred seventy-four thousand, two hundred twenty".