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2130001224 = 2331337918013
BaseRepresentation
bin111111011110101…
…0011110101001000
312111102222021101020
41332331103311020
513330240014344
6551205152440
7103532466051
oct17675236510
95442867336
102130001224
119a336a49a
124b53bb720
1327c393570
14162c59728
15c6ee1719
hex7ef53d48

2130001224 has 64 divisors (see below), whose sum is σ = 5750068800. Its totient is φ = 653619456.

The previous prime is 2130001217. The next prime is 2130001229. The reversal of 2130001224 is 4221000312.

It is not an unprimeable number, because it can be changed into a prime (2130001229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 109242 + ... + 127254.

It is an arithmetic number, because the mean of its divisors is an integer number (89844825).

Almost surely, 22130001224 is an apocalyptic number.

2130001224 is a gapful number since it is divisible by the number (24) 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 2130001224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875034400).

2130001224 is an abundant number, since it is smaller than the sum of its proper divisors (3620067576).

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

2130001224 is a wasteful number, since it uses less digits than its factorization.

2130001224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18414 (or 18410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2130001224 is about 46151.9362974079. The cubic root of 2130001224 is about 1286.6485976803.

Adding to 2130001224 its reverse (4221000312), we get a palindrome (6351001536).

The spelling of 2130001224 in words is "two billion, one hundred thirty million, one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 379 758 1137 1516 2274 3032 4548 4927 9096 9854 14781 18013 19708 29562 36026 39416 54039 59124 72052 108078 118248 144104 216156 234169 432312 468338 702507 936676 1405014 1873352 2810028 5620056 6826927 13653854 20480781 27307708 40961562 54615416 81923124 88750051 163846248 177500102 266250153 355000204 532500306 710000408 1065000612 2130001224