Search a number
-
+
2052231720 = 2335721131729
BaseRepresentation
bin111101001010010…
…1001001000101000
312022000122011200020
41322110221020220
513200332403340
6535350240440
7101566452600
oct17224511050
95260564606
102052231720
11963482080
12493356120
132692344c6
141567b3c00
15c027d9d0
hex7a529228

2052231720 has 192 divisors, whose sum is σ = 7813195200. Its totient is φ = 426424320.

The previous prime is 2052231697. The next prime is 2052231739. The reversal of 2052231720 is 271322502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48816 + ... + 80544.

It is an arithmetic number, because the mean of its divisors is an integer number (40693725).

Almost surely, 22052231720 is an apocalyptic number.

2052231720 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 2052231720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906597600).

2052231720 is an abundant number, since it is smaller than the sum of its proper divisors (5760963480).

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

2052231720 is a wasteful number, since it uses less digits than its factorization.

2052231720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31768 (or 31757 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2052231720 is about 45301.5642114044. The cubic root of 2052231720 is about 1270.7949060804.

The spelling of 2052231720 in words is "two billion, fifty-two million, two hundred thirty-one thousand, seven hundred twenty".