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2166630000 = 2435472221
BaseRepresentation
bin1000000100100100…
…0010011001110000
312120222220012121120
42001021002121300
513414124130000
6554554222240
7104456023353
oct20111023160
95528805546
102166630000
11a12008207
12505724980
13286b497b2
14167a7229a
15ca3296a0
hex81242670

2166630000 has 100 divisors (see below), whose sum is σ = 6994267368. Its totient is φ = 577760000.

The previous prime is 2166629989. The next prime is 2166630043. The reversal of 2166630000 is 366612.

It is a tau number, because it is divible by the number of its divisors (100).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6111 + ... + 66110.

Almost surely, 22166630000 is an apocalyptic number.

2166630000 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 2166630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497133684).

2166630000 is an abundant number, since it is smaller than the sum of its proper divisors (4827637368).

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

2166630000 is an equidigital number, since it uses as much as digits as its factorization.

2166630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72252 (or 72231 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2166630000 is about 46547.0729477161. The cubic root of 2166630000 is about 1293.9820466411.

Adding to 2166630000 its reverse (366612), we get a palindrome (2166996612).

The spelling of 2166630000 in words is "two billion, one hundred sixty-six million, six hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 72221 144442 216663 288884 361105 433326 577768 722210 866652 1083315 1155536 1444420 1733304 1805525 2166630 2888840 3466608 3611050 4333260 5416575 5777680 7222100 8666520 9027625 10833150 14444200 17333040 18055250 21666300 27082875 28888400 36110500 43332600 45138125 54165750 72221000 86665200 90276250 108331500 135414375 144442000 180552500 216663000 270828750 361105000 433326000 541657500 722210000 1083315000 2166630000