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2132224340 = 225977109121
BaseRepresentation
bin111111100010111…
…0010100101010100
312111121011012220212
41333011302211110
513331322134330
6551324544552
7103560415331
oct17705624524
95447135825
102132224340
119a4648784
124b60b2158
1327c99140c
14163277988
15c72d0295
hex7f172954

2132224340 has 24 divisors (see below), whose sum is σ = 4482295272. Its totient is φ = 852008960.

The previous prime is 2132224331. The next prime is 2132224349. The reversal of 2132224340 is 434222312.

It is an interprime number because it is at equal distance from previous prime (2132224331) and next prime (2132224349).

It can be written as a sum of positive squares in 4 ways, for example, as 442849936 + 1689374404 = 21044^2 + 41102^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132224349) 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 7 ways as a sum of consecutive naturals, for example, 35021 + ... + 74100.

It is an arithmetic number, because the mean of its divisors is an integer number (186762303).

Almost surely, 22132224340 is an apocalyptic number.

2132224340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132224340 is an abundant number, since it is smaller than the sum of its proper divisors (2350070932).

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

2132224340 is a wasteful number, since it uses less digits than its factorization.

2132224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110107 (or 110105 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2132224340 is about 46176.0147695749. The cubic root of 2132224340 is about 1287.0960738743.

Adding to 2132224340 its reverse (434222312), we get a palindrome (2566446652).

The spelling of 2132224340 in words is "two billion, one hundred thirty-two million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 977 1954 3908 4885 9770 19540 109121 218242 436484 545605 1091210 2182420 106611217 213222434 426444868 533056085 1066112170 2132224340