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219472 = 24112943
BaseRepresentation
bin110101100101010000
3102011001121
4311211100
524010342
64412024
71602601
oct654520
9364047
10219472
1113a990
12a7014
1378b86
1459da8
1545067
hex35950

219472 has 40 divisors (see below), whose sum is σ = 491040. Its totient is φ = 94080.

The previous prime is 219467. The next prime is 219491. The reversal of 219472 is 274912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5083 + ... + 5125.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2219472 is an apocalyptic number.

219472 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 219472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520).

219472 is an abundant number, since it is smaller than the sum of its proper divisors (271568).

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

219472 is a wasteful number, since it uses less digits than its factorization.

219472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 219472 is about 468.4783879754. The cubic root of 219472 is about 60.3197741949.

The spelling of 219472 in words is "two hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 43 44 58 86 88 116 172 176 232 319 344 464 473 638 688 946 1247 1276 1892 2494 2552 3784 4988 5104 7568 9976 13717 19952 27434 54868 109736 219472