Search a number
-
+
2133402000 = 24353438269
BaseRepresentation
bin111111100101001…
…0010000110010000
312111200101001100220
41333022102012100
513332122331000
6551410113040
7103603421622
oct17712220620
95450331326
102133402000
119a5282554
124b657b780
1327ccb4462
141634a2c12
15c74641a0
hex7f292190

2133402000 has 160 divisors (see below), whose sum is σ = 7038894720. Its totient is φ = 555609600.

The previous prime is 2133401993. The next prime is 2133402017. The reversal of 2133402000 is 2043312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253866 + ... + 262134.

It is an arithmetic number, because the mean of its divisors is an integer number (43993092).

Almost surely, 22133402000 is an apocalyptic number.

2133402000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519447360).

2133402000 is an abundant number, since it is smaller than the sum of its proper divisors (4905492720).

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

2133402000 is a wasteful number, since it uses less digits than its factorization.

2133402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2133402000 is about 46188.7648676602. The cubic root of 2133402000 is about 1287.3329911880.

Adding to 2133402000 its reverse (2043312), we get a palindrome (2135445312).

The spelling of 2133402000 in words is "two billion, one hundred thirty-three million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 8269 8600 10320 10750 12900 16125 16538 17200 21500 24807 25800 32250 33076 41345 43000 49614 51600 64500 66152 82690 86000 99228 124035 129000 132304 165380 198456 206725 248070 258000 330760 355567 396912 413450 496140 620175 661520 711134 826900 992280 1033625 1066701 1240350 1422268 1653800 1777835 1984560 2067250 2133402 2480700 2844536 3100875 3307600 3555670 4134500 4266804 4961400 5333505 5689072 6201750 7111340 8269000 8533608 8889175 9922800 10667010 12403500 14222680 16538000 17067216 17778350 21334020 24807000 26667525 28445360 35556700 42668040 44445875 49614000 53335050 71113400 85336080 88891750 106670100 133337625 142226800 177783500 213340200 266675250 355567000 426680400 533350500 711134000 1066701000 2133402000