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2312214120 = 2333519281401
BaseRepresentation
bin1000100111010001…
…1001011001101000
312222010211122111000
42021310121121220
514213411322440
61021234435000
7111204332016
oct21164313150
95863748430
102312214120
11a87203767
12546432a60
132ab060748
1417d12b8b6
15d7ed5730
hex89d19668

2312214120 has 256 divisors, whose sum is σ = 8162208000. Its totient is φ = 580608000.

The previous prime is 2312214067. The next prime is 2312214131. The reversal of 2312214120 is 214122132.

It is a happy number.

2312214120 is a `hidden beast` number, since 2 + 31 + 221 + 412 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2312214093 and 2312214102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5765920 + ... + 5766320.

It is an arithmetic number, because the mean of its divisors is an integer number (31883625).

Almost surely, 22312214120 is an apocalyptic number.

2312214120 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 2312214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081104000).

2312214120 is an abundant number, since it is smaller than the sum of its proper divisors (5849993880).

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

2312214120 is a wasteful number, since it uses less digits than its factorization.

2312214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

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

The square root of 2312214120 is about 48085.4876236064. The cubic root of 2312214120 is about 1322.3386228475.

Adding to 2312214120 its reverse (214122132), we get a palindrome (2526336252).

The spelling of 2312214120 in words is "two billion, three hundred twelve million, two hundred fourteen thousand, one hundred twenty".