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2312312442 = 231167569919
BaseRepresentation
bin1000100111010011…
…0001011001111010
312222011000122100120
42021310301121322
514213422444232
61021240514110
7111205221456
oct21164613172
95864018316
102312312442
11a87270620
1254647b936
132ab09641b
1417d155666
15d800492c
hex89d3167a

2312312442 has 64 divisors (see below), whose sum is σ = 5134924800. Its totient is φ = 688279680.

The previous prime is 2312312411. The next prime is 2312312459. The reversal of 2312312442 is 2442132132.

It is a happy number.

2312312442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515659 + ... + 2516577.

It is an arithmetic number, because the mean of its divisors is an integer number (80233200).

Almost surely, 22312312442 is an apocalyptic number.

2312312442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312312442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567462400).

2312312442 is an abundant number, since it is smaller than the sum of its proper divisors (2822612358).

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

2312312442 is a wasteful number, since it uses less digits than its factorization.

2312312442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571.

The product of its digits is 2304, while the sum is 24.

The square root of 2312312442 is about 48086.5099794111. The cubic root of 2312312442 is about 1322.3573657967.

Adding to 2312312442 its reverse (2442132132), we get a palindrome (4754444574).

The spelling of 2312312442 in words is "two billion, three hundred twelve million, three hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 569 737 919 1138 1474 1707 1838 2211 2757 3414 4422 5514 6259 10109 12518 18777 20218 30327 37554 38123 60654 61573 76246 114369 123146 184719 228738 369438 419353 522911 677303 838706 1045822 1258059 1354606 1568733 2031909 2516118 3137466 4063818 5752021 11504042 17256063 34512126 35035037 70070074 105105111 210210222 385385407 770770814 1156156221 2312312442