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219942712 = 231113119079
BaseRepresentation
bin11010001110000…
…00111100111000
3120022212020200101
431013000330320
5422301131322
633454045144
75310324253
oct1507007470
9508766611
10219942712
11103174240
12617a97b4
133674a622
14212d409a
1514498327
hexd1c0f38

219942712 has 32 divisors (see below), whose sum is σ = 453340800. Its totient is φ = 99205600.

The previous prime is 219942703. The next prime is 219942731. The reversal of 219942712 is 217249912.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1989 + ... + 21067.

It is an arithmetic number, because the mean of its divisors is an integer number (14166900).

Almost surely, 2219942712 is an apocalyptic number.

219942712 is a gapful number since it is divisible by the number (22) 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 219942712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226670400).

219942712 is an abundant number, since it is smaller than the sum of its proper divisors (233398088).

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

219942712 is a wasteful number, since it uses less digits than its factorization.

219942712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19227 (or 19223 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 219942712 is about 14830.4656703692. The cubic root of 219942712 is about 603.6286696136.

The spelling of 219942712 in words is "two hundred nineteen million, nine hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 2882 5764 11528 19079 38158 76316 152632 209869 419738 839476 1678952 2499349 4998698 9997396 19994792 27492839 54985678 109971356 219942712