Search a number
-
+
2133334000 = 24537152381
BaseRepresentation
bin111111100101000…
…0001011111110000
312111200020121002101
41333022001133300
513332113142000
6551404430144
7103603016440
oct17712013760
95450217071
102133334000
119a5236456
124b6548354
1327cc8c515
14163486120
15c744de6a
hex7f2817f0

2133334000 has 80 divisors (see below), whose sum is σ = 5895354816. Its totient is φ = 731424000.

The previous prime is 2133333991. The next prime is 2133334009. The reversal of 2133334000 is 4333312.

It is an interprime number because it is at equal distance from previous prime (2133333991) and next prime (2133334009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21333340002 = 9102227911112000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133334009) 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, 62191 + ... + 90190.

Almost surely, 22133334000 is an apocalyptic number.

2133334000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133334000 is an abundant number, since it is smaller than the sum of its proper divisors (3762020816).

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

2133334000 is a wasteful number, since it uses less digits than its factorization.

2133334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152411 (or 152395 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 2133334000 is about 46188.0287520479. The cubic root of 2133334000 is about 1287.3193135699.

Adding to 2133334000 its reverse (4333312), we get a palindrome (2137667312).

The spelling of 2133334000 in words is "two billion, one hundred thirty-three million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 152381 304762 609524 761905 1066667 1219048 1523810 2133334 2438096 3047620 3809525 4266668 5333335 6095240 7619050 8533336 10666670 12190480 15238100 17066672 19047625 21333340 26666675 30476200 38095250 42666680 53333350 60952400 76190500 85333360 106666700 133333375 152381000 213333400 266666750 304762000 426666800 533333500 1066667000 2133334000