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2154110200 = 2352111636007
BaseRepresentation
bin1000000001100101…
…0001110011111000
312120010100010200021
42000121101303320
513402423011300
6553430020224
7104244430444
oct20031216370
95503303607
102154110200
11a05a36970
125014a7674
13284385028
14166133824
15c91a4d1a
hex80651cf8

2154110200 has 96 divisors (see below), whose sum is σ = 5498040960. Its totient is φ = 778377600.

The previous prime is 2154110131. The next prime is 2154110209. The reversal of 2154110200 is 20114512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154110209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355597 + ... + 361603.

It is an arithmetic number, because the mean of its divisors is an integer number (57271260).

Almost surely, 22154110200 is an apocalyptic number.

2154110200 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 2154110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749020480).

2154110200 is an abundant number, since it is smaller than the sum of its proper divisors (3343930760).

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

2154110200 is a wasteful number, since it uses less digits than its factorization.

2154110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2154110200 is about 46412.3927415944. The cubic root of 2154110200 is about 1291.4848195380.

Adding to 2154110200 its reverse (20114512), we get a palindrome (2174224712).

The spelling of 2154110200 in words is "two billion, one hundred fifty-four million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 163 200 220 275 326 440 550 652 815 1100 1304 1630 1793 2200 3260 3586 4075 6007 6520 7172 8150 8965 12014 14344 16300 17930 24028 30035 32600 35860 44825 48056 60070 66077 71720 89650 120140 132154 150175 179300 240280 264308 300350 330385 358600 528616 600700 660770 979141 1201400 1321540 1651925 1958282 2643080 3303850 3916564 4895705 6607700 7833128 9791410 10770551 13215400 19582820 21541102 24478525 39165640 43082204 48957050 53852755 86164408 97914100 107705510 195828200 215411020 269263775 430822040 538527550 1077055100 2154110200