Search a number
-
+
4302230100 = 2235274095009
BaseRepresentation
bin1000000000110111…
…01101001001010100
3102002211101221012120
410000123231021110
532302332330400
61550523415540
7211420231620
oct40033551124
912084357176
104302230100
111908551173
12a009845b0
135374205ac
142cb548180
151a2a74ca0
hex1006ed254

4302230100 has 144 divisors (see below), whose sum is σ = 14263670400. Its totient is φ = 980766720.

The previous prime is 4302230089. The next prime is 4302230113. The reversal of 4302230100 is 10322034.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4302230100.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 856396 + ... + 861404.

Almost surely, 24302230100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4302230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131835200).

4302230100 is an abundant number, since it is smaller than the sum of its proper divisors (9961440300).

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

4302230100 is a wasteful number, since it uses less digits than its factorization.

4302230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4302230100 is about 65591.3873919435. The cubic root of 4302230100 is about 1626.4144024698.

Adding to 4302230100 its reverse (10322034), we get a palindrome (4312552134).

The spelling of 4302230100 in words is "four billion, three hundred two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 409 420 525 700 818 1050 1227 1636 2045 2100 2454 2863 4090 4908 5009 5726 6135 8180 8589 10018 10225 11452 12270 14315 15027 17178 20036 20450 24540 25045 28630 30054 30675 34356 35063 40900 42945 50090 57260 60108 61350 70126 71575 75135 85890 100180 105189 122700 125225 140252 143150 150270 171780 175315 210378 214725 250450 286300 300540 350630 375675 420756 429450 500900 525945 701260 751350 858900 876575 1051890 1502700 1753150 2048681 2103780 2629725 3506300 4097362 5259450 6146043 8194724 10243405 10518900 12292086 14340767 20486810 24584172 28681534 30730215 40973620 43022301 51217025 57363068 61460430 71703835 86044602 102434050 122920860 143407670 153651075 172089204 204868100 215111505 286815340 307302150 358519175 430223010 614604300 717038350 860446020 1075557525 1434076700 2151115050 4302230100