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1214123352 = 2331315125771
BaseRepresentation
bin100100001011110…
…0000110101011000
310010121120212010120
41020113200311120
54441303421402
6320250513240
742041610141
oct11027406530
93117525116
101214123352
11573382932
1229a735820
131646caab0
14b7368ac8
15718ca3bc
hex485e0d58

1214123352 has 64 divisors (see below), whose sum is σ = 3290568960. Its totient is φ = 371088000.

The previous prime is 1214123269. The next prime is 1214123353. The reversal of 1214123352 is 2533214121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214123353) 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 15 ways as a sum of consecutive naturals, for example, 34227 + ... + 59997.

It is an arithmetic number, because the mean of its divisors is an integer number (51415140).

Almost surely, 21214123352 is an apocalyptic number.

1214123352 is a gapful number since it is divisible by the number (12) 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 1214123352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645284480).

1214123352 is an abundant number, since it is smaller than the sum of its proper divisors (2076445608).

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

1214123352 is a wasteful number, since it uses less digits than its factorization.

1214123352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25944 (or 25940 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 1214123352 is about 34844.2728723100. The cubic root of 1214123352 is about 1066.8112922822.

Adding to 1214123352 its reverse (2533214121), we get a palindrome (3747337473).

The spelling of 1214123352 in words is "one billion, two hundred fourteen million, one hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 302 312 453 604 906 1208 1812 1963 3624 3926 5889 7852 11778 15704 23556 25771 47112 51542 77313 103084 154626 206168 309252 335023 618504 670046 1005069 1340092 2010138 2680184 3891421 4020276 7782842 8040552 11674263 15565684 23348526 31131368 46697052 50588473 93394104 101176946 151765419 202353892 303530838 404707784 607061676 1214123352