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2142602280 = 23345713343
BaseRepresentation
bin111111110110101…
…1000010000101000
312112022200110210000
41333231120100220
513342001233110
6552335223000
7104044550610
oct17755302050
95468613700
102142602280
119aa496895
124b9677a60
13281b86000
141647b9a40
15c81801c0
hex7fb58428

2142602280 has 640 divisors, whose sum is σ = 9123206400. Its totient is φ = 441552384.

The previous prime is 2142602233. The next prime is 2142602281. The reversal of 2142602280 is 822062412.

It is a happy number.

2142602280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21426022802 = 9181489060522396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142602281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49827939 + ... + 49827981.

It is an arithmetic number, because the mean of its divisors is an integer number (14255010).

Almost surely, 22142602280 is an apocalyptic number.

2142602280 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 2142602280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561603200).

2142602280 is an abundant number, since it is smaller than the sum of its proper divisors (6980604120).

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

2142602280 is a wasteful number, since it uses less digits than its factorization.

2142602280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2142602280 is about 46288.2520732853. The cubic root of 2142602280 is about 1289.1808753308.

Adding to 2142602280 its reverse (822062412), we get a palindrome (2964664692).

The spelling of 2142602280 in words is "two billion, one hundred forty-two million, six hundred two thousand, two hundred eighty".