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2201045000 = 23547115717
BaseRepresentation
bin1000001100110001…
…0100100000001000
312200101122200010012
42003030110200020
514001431420000
61002224011052
7105354400550
oct20314244010
95611580105
102201045000
11a2a483760
12515160a88
132910091bb
1416c470160
15cd376735
hex83314808

2201045000 has 160 divisors (see below), whose sum is σ = 6430691520. Its totient is φ = 685920000.

The previous prime is 2201044933. The next prime is 2201045009. The reversal of 2201045000 is 5401022.

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

It is not an unprimeable number, because it can be changed into a prime (2201045009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382142 + ... + 387858.

It is an arithmetic number, because the mean of its divisors is an integer number (40191822).

Almost surely, 22201045000 is an apocalyptic number.

2201045000 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 2201045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215345760).

2201045000 is an abundant number, since it is smaller than the sum of its proper divisors (4229646520).

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

2201045000 is a wasteful number, since it uses less digits than its factorization.

2201045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2201045000 is about 46915.2960131341. The cubic root of 2201045000 is about 1300.7973412340.

Adding to 2201045000 its reverse (5401022), we get a palindrome (2206446022).

The spelling of 2201045000 in words is "two billion, two hundred one million, forty-five thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 625 700 770 875 1000 1100 1250 1375 1400 1540 1750 1925 2200 2500 2750 3080 3500 3850 4375 5000 5500 5717 6875 7000 7700 8750 9625 11000 11434 13750 15400 17500 19250 22868 27500 28585 35000 38500 40019 45736 48125 55000 57170 62887 77000 80038 96250 114340 125774 142925 160076 192500 200095 228680 251548 285850 314435 320152 385000 400190 440209 503096 571700 628870 714625 800380 880418 1000475 1143400 1257740 1429250 1572175 1600760 1760836 2000950 2201045 2515480 2858500 3144350 3521672 3573125 4001900 4402090 5002375 5717000 6288700 7146250 7860875 8003800 8804180 10004750 11005225 12577400 14292500 15721750 17608360 20009500 22010450 25011875 28585000 31443500 39304375 40019000 44020900 50023750 55026125 62887000 78608750 88041800 100047500 110052250 157217500 200095000 220104500 275130625 314435000 440209000 550261250 1100522500 2201045000