[go: up one dir, main page]

Search a number
-
+
7223058432 = 213323132
BaseRepresentation
bin1101011101000011…
…10010000000000000
3200122101110101102200
412232201302000000
5104243100332212
63152423113200
7343664661252
oct65641620000
920571411380
107223058432
113077256787
121496ba2800
138b15a4795
144c7421cd2
152c41ca6dc
hex1ae872000

7223058432 has 126 divisors (see below), whose sum is σ = 20932215057. Its totient is φ = 2399993856.

The previous prime is 7223058397. The next prime is 7223058439. The reversal of 7223058432 is 2348503227.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7223058432 is a `hidden beast` number, since 72 + 2 + 3 + 0 + 584 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4186607616 + 3036450816 = 64704^2 + 55104^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=60096.

It is a super-2 number, since 2×72230584322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7223058439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23076708 + ... + 23077020.

Almost surely, 27223058432 is an apocalyptic number.

7223058432 is a gapful number since it is divisible by the number (72) 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 7223058432

7223058432 is an abundant number, since it is smaller than the sum of its proper divisors (13709156625).

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

7223058432 is an frugal number, since it uses more digits than its factorization.

7223058432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7223058432 is about 84988.5782443735. The cubic root of 7223058432 is about 1933.0379310325.

The spelling of 7223058432 in words is "seven billion, two hundred twenty-three million, fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 313 384 512 576 626 768 939 1024 1152 1252 1536 1878 2048 2304 2504 2817 3072 3756 4096 4608 5008 5634 6144 7512 8192 9216 10016 11268 12288 15024 18432 20032 22536 24576 30048 36864 40064 45072 60096 73728 80128 90144 97969 120192 160256 180288 195938 240384 293907 320512 360576 391876 480768 587814 641024 721152 783752 881721 961536 1175628 1282048 1442304 1567504 1763442 1923072 2351256 2564096 2884608 3135008 3526884 3846144 4702512 5769216 6270016 7053768 7692288 9405024 11538432 12540032 14107536 18810048 23076864 25080064 28215072 37620096 50160128 56430144 75240192 100320256 112860288 150480384 200640512 225720576 300960768 401281024 451441152 601921536 802562048 902882304 1203843072 1805764608 2407686144 3611529216 7223058432