[go: up one dir, main page]

Search a number
-
+
4322230000 = 24541139293
BaseRepresentation
bin1000000011001111…
…11111111011110000
3102011020001000220121
410001213333323300
532322442330000
61552520220024
7212052230434
oct40147777360
912136030817
104322230000
111918871410
12a0760a614
1353b60395a
142d00729c4
151a46c5b1a
hex1019ffef0

4322230000 has 100 divisors (see below), whose sum is σ = 11416164408. Its totient is φ = 1571680000.

The previous prime is 4322229997. The next prime is 4322230007. The reversal of 4322230000 is 322234.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4322230007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90354 + ... + 129646.

Almost surely, 24322230000 is an apocalyptic number.

4322230000 is a gapful number since it is divisible by the number (40) 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 4322230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708082204).

4322230000 is an abundant number, since it is smaller than the sum of its proper divisors (7093934408).

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

4322230000 is a wasteful number, since it uses less digits than its factorization.

4322230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39332 (or 39311 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 4322230000 is about 65743.6688967082. The cubic root of 4322230000 is about 1628.9307602361.

Adding to 4322230000 its reverse (322234), we get a palindrome (4322552234).

The spelling of 4322230000 in words is "four billion, three hundred twenty-two million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 39293 55000 78586 110000 157172 196465 314344 392930 432223 628688 785860 864446 982325 1571720 1728892 1964650 2161115 3143440 3457784 3929300 4322230 4911625 6915568 7858600 8644460 9823250 10805575 15717200 17288920 19646500 21611150 24558125 34577840 39293000 43222300 49116250 54027875 78586000 86444600 98232500 108055750 172889200 196465000 216111500 270139375 392930000 432223000 540278750 864446000 1080557500 2161115000 4322230000