[go: up one dir, main page]

Search a number
-
+
2223222300 = 223252131973137
BaseRepresentation
bin1000010010000011…
…1010111000011100
312201221101101122200
42010200322320130
514023121103200
61004335211500
7106044035445
oct20440727034
95657341580
102223222300
11a40a50902
12520676b90
132957a2670
141713a42cc
15d02a7800
hex8483ae1c

2223222300 has 432 divisors, whose sum is σ = 8066254560. Its totient is φ = 507617280.

The previous prime is 2223222299. The next prime is 2223222301. The reversal of 2223222300 is 32223222.

It is an interprime number because it is at equal distance from previous prime (2223222299) and next prime (2223222301).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223222301) 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 143 ways as a sum of consecutive naturals, for example, 16227832 + ... + 16227968.

Almost surely, 22223222300 is an apocalyptic number.

2223222300 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 2223222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033127280).

2223222300 is an abundant number, since it is smaller than the sum of its proper divisors (5843032260).

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

2223222300 is a wasteful number, since it uses less digits than its factorization.

2223222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2223222300 is about 47151.0583126190. The cubic root of 2223222300 is about 1305.1516096374.

Adding to 2223222300 its reverse (32223222), we get a palindrome (2255445522).

It can be divided in two parts, 2223 and 222300, that multiplied together give a square (494172900 = 222302).

The spelling of 2223222300 in words is "two billion, two hundred twenty-three million, two hundred twenty-two thousand, three hundred".