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2204243120 = 2451711171451
BaseRepresentation
bin1000001101100010…
…0001010010110000
312200121200011010002
42003120201102300
514003241234440
61002420325132
7105423520532
oct20330412260
95617604102
102204243120
11a31268532
125162437a8
13291888a91
1416ca63852
15cd7a9115
hex836214b0

2204243120 has 80 divisors (see below), whose sum is σ = 5434928928. Its totient is φ = 828518400.

The previous prime is 2204243077. The next prime is 2204243123. The reversal of 2204243120 is 213424022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2204243092 and 2204243101.

It is not an unprimeable number, because it can be changed into a prime (2204243123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518395 + ... + 1519845.

Almost surely, 22204243120 is an apocalyptic number.

2204243120 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 2204243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717464464).

2204243120 is an abundant number, since it is smaller than the sum of its proper divisors (3230685808).

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

2204243120 is a wasteful number, since it uses less digits than its factorization.

2204243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2204243120 is about 46949.3676208743. The cubic root of 2204243120 is about 1301.4270561707.

Adding to 2204243120 its reverse (213424022), we get a palindrome (2417667142).

The spelling of 2204243120 in words is "two billion, two hundred four million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1117 1360 1451 2234 2902 4468 5585 5804 7255 8936 11170 11608 14510 17872 18989 22340 23216 24667 29020 37978 44680 49334 58040 75956 89360 94945 98668 116080 123335 151912 189890 197336 246670 303824 379780 394672 493340 759560 986680 1519120 1620767 1973360 3241534 6483068 8103835 12966136 16207670 25932272 27553039 32415340 55106078 64830680 110212156 129661360 137765195 220424312 275530390 440848624 551060780 1102121560 2204243120