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219055254 = 23112535693
BaseRepresentation
bin11010000111010…
…00010010010110
3120021012011022120
431003220102112
5422034232004
633423040410
75266640025
oct1503502226
9507164276
10219055254
11102718500
1261440106
13364c96c2
14211428bc
15143703d9
hexd0e8496

219055254 has 48 divisors (see below), whose sum is σ = 490731696. Its totient is φ = 65116480.

The previous prime is 219055253. The next prime is 219055267. The reversal of 219055254 is 452550912.

219055254 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2190552543 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219055253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35632 + ... + 41324.

It is an arithmetic number, because the mean of its divisors is an integer number (10223577).

Almost surely, 2219055254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219055254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245365848).

219055254 is an abundant number, since it is smaller than the sum of its proper divisors (271676442).

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

219055254 is a wasteful number, since it uses less digits than its factorization.

219055254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 219055254 is about 14800.5153288661. The cubic root of 219055254 is about 602.8157045654.

The spelling of 219055254 in words is "two hundred nineteen million, fifty-five thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 318 363 583 726 1166 1749 3498 5693 6413 11386 12826 17079 19239 34158 38478 62623 125246 187869 301729 375738 603458 688853 905187 1377706 1810374 2066559 3319019 4133118 6638038 9957057 19914114 36509209 73018418 109527627 219055254