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219034332 = 2232112919073
BaseRepresentation
bin11010000111000…
…11001011011100
3120021011002121200
431003203023130
5422033044312
633422355500
75266522026
oct1503431334
9507132550
10219034332
11102703810
126142bb90
13364c001a
1421139016
15143690dc
hexd0e32dc

219034332 has 72 divisors (see below), whose sum is σ = 624864240. Its totient is φ = 64081920.

The previous prime is 219034289. The next prime is 219034351. The reversal of 219034332 is 233430912.

It is a happy number.

219034332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 219034296 and 219034305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1948 + ... + 21020.

It is an arithmetic number, because the mean of its divisors is an integer number (8678670).

Almost surely, 2219034332 is an apocalyptic number.

219034332 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 219034332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312432120).

219034332 is an abundant number, since it is smaller than the sum of its proper divisors (405829908).

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

219034332 is a wasteful number, since it uses less digits than its factorization.

219034332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19123 (or 19118 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 219034332 is about 14799.8085122747. The cubic root of 219034332 is about 602.7965122817.

The spelling of 219034332 in words is "two hundred nineteen million, thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 19073 38146 57219 76292 114438 171657 209803 228876 343314 419606 553117 629409 686628 839212 1106234 1258818 1659351 1888227 2212468 2517636 3318702 3776454 4978053 6084287 6637404 7552908 9956106 12168574 18252861 19912212 24337148 36505722 54758583 73011444 109517166 219034332