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2130244200 = 2332527169067
BaseRepresentation
bin111111011111000…
…1111001001101000
312111110102121200100
41332332033021220
513330320303300
6551214305400
7103534530330
oct17676171150
95443377610
102130244200
119a3515aa7
124b54b8260
1327c44a036
14162cc00c0
15c703d700
hex7ef8f268

2130244200 has 144 divisors (see below), whose sum is σ = 8176128480. Its totient is φ = 486910080.

The previous prime is 2130244159. The next prime is 2130244217. The reversal of 2130244200 is 24420312.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 71934 + ... + 97133.

It is an arithmetic number, because the mean of its divisors is an integer number (56778670).

Almost surely, 22130244200 is an apocalyptic number.

2130244200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130244200 is an abundant number, since it is smaller than the sum of its proper divisors (6045884280).

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

2130244200 is a wasteful number, since it uses less digits than its factorization.

2130244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169096 (or 169084 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2130244200 is about 46154.5685712693. The cubic root of 2130244200 is about 1286.6975198498.

Adding to 2130244200 its reverse (24420312), we get a palindrome (2154664512).

The spelling of 2130244200 in words is "two billion, one hundred thirty million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 169067 338134 507201 676268 845335 1014402 1183469 1352536 1521603 1690670 2028804 2366938 2536005 3043206 3381340 3550407 4057608 4226675 4733876 5072010 5917345 6086412 6762680 7100814 7608015 8453350 9467752 10144020 10651221 11834690 12172824 12680025 14201628 15216030 16906700 17752035 20288040 21302442 23669380 25360050 28403256 29586725 30432060 33813400 35504070 38040075 42604884 47338760 50720100 53256105 59173450 60864120 71008140 76080150 85209768 88760175 101440200 106512210 118346900 142016280 152160300 177520350 213024420 236693800 266280525 304320600 355040700 426048840 532561050 710081400 1065122100 2130244200