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2133030200 = 235273314603
BaseRepresentation
bin111111100100011…
…0111010100111000
312111122200011100112
41333020313110320
513332023431300
6551354123452
7103600312640
oct17710672470
95448604315
102133030200
119a5049184
124b6420588
1327cbb4162
14163407520
15c73dde35
hex7f237538

2133030200 has 96 divisors (see below), whose sum is σ = 5686124160. Its totient is φ = 728956800.

The previous prime is 2133030181. The next prime is 2133030217. The reversal of 2133030200 is 20303312.

It is a super-2 number, since 2×21330302002 = 9099635668224080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461099 + ... + 465701.

It is an arithmetic number, because the mean of its divisors is an integer number (59230460).

Almost surely, 22133030200 is an apocalyptic number.

2133030200 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 2133030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843062080).

2133030200 is an abundant number, since it is smaller than the sum of its proper divisors (3553093960).

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

2133030200 is a wasteful number, since it uses less digits than its factorization.

2133030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2133030200 is about 46184.7399039986. The cubic root of 2133030200 is about 1287.2582032494.

Adding to 2133030200 its reverse (20303312), we get a palindrome (2153333512).

The spelling of 2133030200 in words is "two billion, one hundred thirty-three million, thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 331 350 662 700 1324 1400 1655 2317 2648 3310 4603 4634 6620 8275 9206 9268 11585 13240 16550 18412 18536 23015 23170 32221 33100 36824 46030 46340 57925 64442 66200 92060 92680 115075 115850 128884 161105 184120 230150 231700 257768 322210 460300 463400 644420 805525 920600 1288840 1523593 1611050 3047186 3222100 6094372 6444200 7617965 10665151 12188744 15235930 21330302 30471860 38089825 42660604 53325755 60943720 76179650 85321208 106651510 152359300 213303020 266628775 304718600 426606040 533257550 1066515100 2133030200