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2442132132 = 2231194119661
BaseRepresentation
bin1001000110001111…
…1111101010100100
320022012022011111020
42101203333222210
520000141212012
61042155211140
7114342531516
oct22143775244
96265264436
102442132132
11104357a020
12581a46ab0
132cbc4aacb
141924a9bb6
15e45e9a8c
hex918ffaa4

2442132132 has 48 divisors (see below), whose sum is σ = 6223258944. Its totient is φ = 739216000.

The previous prime is 2442132131. The next prime is 2442132193. The reversal of 2442132132 is 2312312442.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2442132131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114382 + ... + 134042.

It is an arithmetic number, because the mean of its divisors is an integer number (129651228).

Almost surely, 22442132132 is an apocalyptic number.

2442132132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2442132132 is an abundant number, since it is smaller than the sum of its proper divisors (3781126812).

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

2442132132 is a wasteful number, since it uses less digits than its factorization.

2442132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20620 (or 20618 counting only the distinct ones).

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

The square root of 2442132132 is about 49417.9333036095. The cubic root of 2442132132 is about 1346.6551178905.

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

The spelling of 2442132132 in words is "two billion, four hundred forty-two million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 941 1882 2823 3764 5646 10351 11292 19661 20702 31053 39322 41404 58983 62106 78644 117966 124212 216271 235932 432542 648813 865084 1297626 2595252 18501001 37002002 55503003 74004004 111006006 203511011 222012012 407022022 610533033 814044044 1221066066 2442132132