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1214114232 = 233296128597
BaseRepresentation
bin100100001011101…
…1110100110111000
310010121120101121210
41020113132212320
54441303123412
6320250403120
742041541432
oct11027364670
93117511553
101214114232
11573376aa1
1229a7304a0
131646c68b6
14b7365652
15718c783c
hex485de9b8

1214114232 has 64 divisors (see below), whose sum is σ = 3191536800. Its totient is φ = 384330240.

The previous prime is 1214114227. The next prime is 1214114243. The reversal of 1214114232 is 2324114121.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1214114199 and 1214114208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28158 + ... + 56754.

Almost surely, 21214114232 is an apocalyptic number.

1214114232 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 1214114232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595768400).

1214114232 is an abundant number, since it is smaller than the sum of its proper divisors (1977422568).

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

1214114232 is a wasteful number, since it uses less digits than its factorization.

1214114232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28696 (or 28692 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 1214114232 is about 34844.1420040729. The cubic root of 1214114232 is about 1066.8086211249.

Adding to 1214114232 its reverse (2324114121), we get a palindrome (3538228353).

The spelling of 1214114232 in words is "one billion, two hundred fourteen million, one hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 87 116 122 174 183 232 244 348 366 488 696 732 1464 1769 3538 5307 7076 10614 14152 21228 28597 42456 57194 85791 114388 171582 228776 343164 686328 829313 1658626 1744417 2487939 3317252 3488834 4975878 5233251 6634504 6977668 9951756 10466502 13955336 19903512 20933004 41866008 50588093 101176186 151764279 202352372 303528558 404704744 607057116 1214114232