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1214245332 = 2232171984061
BaseRepresentation
bin100100001011111…
…1110100111010100
310010121211001110100
41020113332213110
54441321322312
6320253254100
742042625566
oct11027764724
93117731410
101214245332
11573456543
1229a794330
13164741481
14b739b336
15719015dc
hex485fe9d4

1214245332 has 36 divisors (see below), whose sum is σ = 3249893556. Its totient is φ = 380939520.

The previous prime is 1214245327. The next prime is 1214245339. The reversal of 1214245332 is 2335424121.

1214245332 is a `hidden beast` number, since 121 + 4 + 2 + 4 + 533 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1104498756 + 109746576 = 33234^2 + 10476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1214245296 and 1214245305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214245339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 991419 + ... + 992642.

It is an arithmetic number, because the mean of its divisors is an integer number (90274821).

Almost surely, 21214245332 is an apocalyptic number.

1214245332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1214245332 is an abundant number, since it is smaller than the sum of its proper divisors (2035648224).

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

1214245332 is a wasteful number, since it uses less digits than its factorization.

1214245332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984088 (or 1984083 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 1214245332 is about 34846.0231877326. The cubic root of 1214245332 is about 1066.8470177252.

Adding to 1214245332 its reverse (2335424121), we get a palindrome (3549669453).

It can be divided in two parts, 121424 and 5332, that added together give a triangular number (126756 = T503).

The spelling of 1214245332 in words is "one billion, two hundred fourteen million, two hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1984061 3968122 5952183 7936244 11904366 17856549 23808732 33729037 35713098 67458074 71426196 101187111 134916148 202374222 303561333 404748444 607122666 1214245332