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2223221000 = 2353711132221
BaseRepresentation
bin1000010010000011…
…1010100100001000
312201221101022212112
42010200322210020
514023121033000
61004335201452
7106044031610
oct20440724410
95657338775
102223221000
11a40a4a930
12520676288
132957a1bb0
141713a3a40
15d02a7235
hex8483a908

2223221000 has 256 divisors, whose sum is σ = 6988101120. Its totient is φ = 639360000.

The previous prime is 2223220999. The next prime is 2223221057. The reversal of 2223221000 is 1223222.

It is a super-2 number, since 2×22232210002 = 9885423229682000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999890 + ... + 1002110.

It is an arithmetic number, because the mean of its divisors is an integer number (27297270).

Almost surely, 22223221000 is an apocalyptic number.

2223221000 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 2223221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494050560).

2223221000 is an abundant number, since it is smaller than the sum of its proper divisors (4764880120).

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

2223221000 is a wasteful number, since it uses less digits than its factorization.

2223221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2223221000 is about 47151.0445271364. The cubic root of 2223221000 is about 1305.1513552473.

Adding to 2223221000 its reverse (1223222), we get a palindrome (2224444222).

It can be divided in two parts, 222322 and 1000, that added together give a palindrome (223322).

The spelling of 2223221000 in words is "two billion, two hundred twenty-three million, two hundred twenty-one thousand".