Search a number
-
+
2145363220 = 225711131011061
BaseRepresentation
bin111111111011111…
…1010010100010100
312112111212202002001
41333313322110110
513343203110340
6552514325044
7104110200160
oct17767722424
95474782061
102145363220
11a01002160
124ba589784
132826118c0
14164cd7ca0
15c852829a
hex7fdfa514

2145363220 has 192 divisors, whose sum is σ = 6114673152. Its totient is φ = 610560000.

The previous prime is 2145363217. The next prime is 2145363221. The reversal of 2145363220 is 223635412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145363221) 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, 2021490 + ... + 2022550.

It is an arithmetic number, because the mean of its divisors is an integer number (31847256).

Almost surely, 22145363220 is an apocalyptic number.

2145363220 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 2145363220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057336576).

2145363220 is an abundant number, since it is smaller than the sum of its proper divisors (3969309932).

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

2145363220 is a wasteful number, since it uses less digits than its factorization.

2145363220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2145363220 is about 46318.0658059034. The cubic root of 2145363220 is about 1289.7343803408.

Adding to 2145363220 its reverse (223635412), we get a palindrome (2368998632).

The spelling of 2145363220 in words is "two billion, one hundred forty-five million, three hundred sixty-three thousand, two hundred twenty".