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2133442440 = 233255926229
BaseRepresentation
bin111111100101001…
…1011111110001000
312111200110002211200
41333022123332020
513332130124230
6551411024200
7103603650543
oct17712337610
95450402750
102133442440
119a52aa978
124b659b060
1327ccc999c
141634b385a
15c7471160
hex7f29bf88

2133442440 has 48 divisors (see below), whose sum is σ = 6933689100. Its totient is φ = 568917888.

The previous prime is 2133442433. The next prime is 2133442453. The reversal of 2133442440 is 442443312.

It is a happy number.

2133442440 is a `hidden beast` number, since 213 + 3 + 4 + 4 + 2 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1966567716 + 166874724 = 44346^2 + 12918^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2962755 + ... + 2963474.

Almost surely, 22133442440 is an apocalyptic number.

2133442440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133442440 is an abundant number, since it is smaller than the sum of its proper divisors (4800246660).

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

2133442440 is a wasteful number, since it uses less digits than its factorization.

2133442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926246 (or 5926239 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2133442440 is about 46189.2026343820. The cubic root of 2133442440 is about 1287.3411252101.

Adding to 2133442440 its reverse (442443312), we get a palindrome (2575885752).

The spelling of 2133442440 in words is "two billion, one hundred thirty-three million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5926229 11852458 17778687 23704916 29631145 35557374 47409832 53336061 59262290 71114748 88893435 106672122 118524580 142229496 177786870 213344244 237049160 266680305 355573740 426688488 533360610 711147480 1066721220 2133442440