Search a number
-
+
2004224212300 = 2252172714350389
BaseRepresentation
bin11101001010100101000…
…100100111110101001100
321002121020211110001212111
4131022211010213311030
5230314122344243200
64132421120313404
7264541354500562
oct35124504476514
97077224401774
102004224212300
11702a94355032
12284522772864
13116cc776988b
146d00d8c9a32
1537203c910ba
hex1d2a5127d4c

2004224212300 has 72 divisors (see below), whose sum is σ = 4621993548480. Its totient is φ = 751747046400.

The previous prime is 2004224212297. The next prime is 2004224212307. The reversal of 2004224212300 is 32124224002.

It is not an unprimeable number, because it can be changed into a prime (2004224212307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1714495 + ... + 2635894.

It is an arithmetic number, because the mean of its divisors is an integer number (64194354840).

Almost surely, 22004224212300 is an apocalyptic number.

2004224212300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004224212300 is an abundant number, since it is smaller than the sum of its proper divisors (2617769336180).

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

2004224212300 is a wasteful number, since it uses less digits than its factorization.

2004224212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350691 (or 4350684 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2004224212300 its reverse (32124224002), we get a palindrome (2036348436302).

The spelling of 2004224212300 in words is "two trillion, four billion, two hundred twenty-four million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 271 340 425 542 850 1084 1355 1700 2710 4607 5420 6775 9214 13550 18428 23035 27100 46070 92140 115175 230350 460700 4350389 8700778 17401556 21751945 43503890 73956613 87007780 108759725 147913226 217519450 295826452 369783065 435038900 739566130 1178955419 1479132260 1848915325 2357910838 3697830650 4715821676 5894777095 7395661300 11789554190 20042242123 23579108380 29473885475 40084484246 58947770950 80168968492 100211210615 117895541900 200422421230 400844842460 501056053075 1002112106150 2004224212300