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1214224200 = 2332527293323
BaseRepresentation
bin100100001011111…
…1001011101001000
310010121202222110200
41020113321131020
54441320133300
6320253012200
742042510150
oct11027713510
93117688420
101214224200
11573441682
1229a784060
13164734977
14b7393760
15718ea200
hex485f9748

1214224200 has 288 divisors, whose sum is σ = 4822459200. Its totient is φ = 267886080.

The previous prime is 1214224177. The next prime is 1214224247. The reversal of 1214224200 is 24224121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 363739 + ... + 367061.

It is an arithmetic number, because the mean of its divisors is an integer number (16744650).

Almost surely, 21214224200 is an apocalyptic number.

1214224200 is a gapful number since it is divisible by the number (10) 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 1214224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411229600).

1214224200 is an abundant number, since it is smaller than the sum of its proper divisors (3608235000).

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

1214224200 is a wasteful number, since it uses less digits than its factorization.

1214224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1214224200 is about 34845.7199667334. The cubic root of 1214224200 is about 1066.8408287667.

Adding to 1214224200 its reverse (24224121), we get a palindrome (1238448321).

The spelling of 1214224200 in words is "one billion, two hundred fourteen million, two hundred twenty-four thousand, two hundred".