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1330023222 = 2321131121599
BaseRepresentation
bin100111101000110…
…1000101100110110
310102200200011212100
41033101220230312
510210441220342
6335551002530
744650003503
oct11721505466
93380604770
101330023222
11622844150
12311509446
1318271a6b8
14c88d84aa
157bb70e4c
hex4f468b36

1330023222 has 48 divisors (see below), whose sum is σ = 3153945600. Its totient is φ = 401722800.

The previous prime is 1330023197. The next prime is 1330023293. The reversal of 1330023222 is 2223200331.

It is a happy number.

1330023222 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13300232222 = 3537923542118522568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1330023195 and 1330023204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50779 + ... + 72377.

It is an arithmetic number, because the mean of its divisors is an integer number (65707200).

Almost surely, 21330023222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330023222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576972800).

1330023222 is an abundant number, since it is smaller than the sum of its proper divisors (1823922378).

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

1330023222 is a wasteful number, since it uses less digits than its factorization.

1330023222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21929 (or 21926 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1330023222 is about 36469.4834347842. The cubic root of 1330023222 is about 1099.7308493004.

Adding to 1330023222 its reverse (2223200331), we get a palindrome (3553223553).

The spelling of 1330023222 in words is "one billion, three hundred thirty million, twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 311 622 933 1866 2799 3421 5598 6842 10263 20526 21599 30789 43198 61578 64797 129594 194391 237589 388782 475178 712767 1425534 2138301 4276602 6717289 13434578 20151867 40303734 60455601 73890179 120911202 147780358 221670537 443341074 665011611 1330023222