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2133234404 = 227219356393
BaseRepresentation
bin111111100100110…
…1001001011100100
312111200001112110122
41333021221023210
513332102000104
6551402341112
7103602123200
oct17711511344
95450045418
102133234404
119a5178644
124b64ba798
1327cc560a2
1416345bb00
15c742e6be
hex7f2692e4

2133234404 has 36 divisors (see below), whose sum is σ = 4365233964. Its totient is φ = 909490176.

The previous prime is 2133234401. The next prime is 2133234407. The reversal of 2133234404 is 4044323312.

It is an interprime number because it is at equal distance from previous prime (2133234401) and next prime (2133234407).

It can be written as a sum of positive squares in 2 ways, for example, as 631516900 + 1501717504 = 25130^2 + 38752^2 .

It is not an unprimeable number, because it can be changed into a prime (2133234401) 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 11 ways as a sum of consecutive naturals, for example, 9632 + ... + 66024.

It is an arithmetic number, because the mean of its divisors is an integer number (121256499).

Almost surely, 22133234404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133234404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182616982).

2133234404 is an abundant number, since it is smaller than the sum of its proper divisors (2231999560).

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

2133234404 is a wasteful number, since it uses less digits than its factorization.

2133234404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56604 (or 56595 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2133234404 is about 46186.9505813060. The cubic root of 2133234404 is about 1287.2992801622.

Adding to 2133234404 its reverse (4044323312), we get a palindrome (6177557716).

The spelling of 2133234404 in words is "two billion, one hundred thirty-three million, two hundred thirty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 193 196 386 772 1351 2702 5404 9457 18914 37828 56393 112786 225572 394751 789502 1579004 2763257 5526514 10883849 11053028 21767698 43535396 76186943 152373886 304747772 533308601 1066617202 2133234404