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2312442132 = 2237113133743
BaseRepresentation
bin1000100111010101…
…0001000100010100
312222011021020020220
42021311101010110
514213441122012
61021243354340
7111206301540
oct21165210424
95864236226
102312442132
11a8734a000
125465229b0
132ab110470
1417d18aa20
15d802d08c
hex89d51114

2312442132 has 384 divisors, whose sum is σ = 7676325888. Its totient is φ = 526901760.

The previous prime is 2312442113. The next prime is 2312442151.

It is a happy number.

2312442132 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2312442113) and next prime (2312442151).

It is a super-2 number, since 2×23124421322 = 10694777227697410848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53777703 + ... + 53777745.

It is an arithmetic number, because the mean of its divisors is an integer number (19990432).

Almost surely, 22312442132 is an apocalyptic number.

2312442132 is a gapful number since it is divisible by the number (22) 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 2312442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838162944).

2312442132 is an abundant number, since it is smaller than the sum of its proper divisors (5363883756).

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

2312442132 is a wasteful number, since it uses less digits than its factorization.

2312442132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

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

The square root of 2312442132 is about 48087.8584676007. The cubic root of 2312442132 is about 1322.3820875597.

It can be divided in two parts, 23124 and 42132, that added together give a palindrome (65256).

The spelling of 2312442132 in words is "two billion, three hundred twelve million, four hundred forty-two thousand, one hundred thirty-two".