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2123146740 = 22351113353701
BaseRepresentation
bin111111010001100…
…1010010111110100
312110222002000210110
41332203022113310
513322011143430
6550402223020
7103420310121
oct17643122764
95428060713
102123146740
1199a508630
124b3054a70
1327ab33660
14161d93748
15c65da7b0
hex7e8ca5f4

2123146740 has 192 divisors, whose sum is σ = 7013889792. Its totient is φ = 473088000.

The previous prime is 2123146681. The next prime is 2123146741. The reversal of 2123146740 is 476413212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2123146698 and 2123146707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123146741) 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, 3028390 + ... + 3029090.

It is an arithmetic number, because the mean of its divisors is an integer number (36530676).

Almost surely, 22123146740 is an apocalyptic number.

2123146740 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 2123146740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506944896).

2123146740 is an abundant number, since it is smaller than the sum of its proper divisors (4890743052).

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

2123146740 is a wasteful number, since it uses less digits than its factorization.

2123146740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2123146740 is about 46077.6164748135. The cubic root of 2123146740 is about 1285.2669412674.

Adding to 2123146740 its reverse (476413212), we get a palindrome (2599559952).

The spelling of 2123146740 in words is "two billion, one hundred twenty-three million, one hundred forty-six thousand, seven hundred forty".