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2321221140 = 223257217113137
BaseRepresentation
bin1000101001011011…
…0000011000010100
312222202210020210100
42022112300120110
514223213034030
61022155454100
7111344024400
oct21226603024
95882706710
102321221140
11a912a5887
12549457330
132acb95344
141803d4100
15d8bb4360
hex8a5b0614

2321221140 has 432 divisors, whose sum is σ = 8813003472. Its totient is φ = 491323392.

The previous prime is 2321221121. The next prime is 2321221169. The reversal of 2321221140 is 411221232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 96589584 + 2224631556 = 9828^2 + 47166^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16943152 + ... + 16943288.

It is an arithmetic number, because the mean of its divisors is an integer number (20400471).

Almost surely, 22321221140 is an apocalyptic number.

2321221140 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 2321221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406501736).

2321221140 is an abundant number, since it is smaller than the sum of its proper divisors (6491782332).

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

2321221140 is a wasteful number, since it uses less digits than its factorization.

2321221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2321221140 is about 48179.0529172170. The cubic root of 2321221140 is about 1324.0534148152.

Adding to 2321221140 its reverse (411221232), we get a palindrome (2732442372).

The spelling of 2321221140 in words is "two billion, three hundred twenty-one million, two hundred twenty-one thousand, one hundred forty".