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216341272 = 2372647853
BaseRepresentation
bin11001110010100…
…01101100011000
3120002002021102201
430321101230120
5420340410042
633244535544
75234604400
oct1471215430
9502067381
10216341272
11101134444
12605515b4
1335a892b4
1420a37800
1513ed61b7
hexce51b18

216341272 has 48 divisors (see below), whose sum is σ = 473150160. Its totient is φ = 92465856.

The previous prime is 216341233. The next prime is 216341273. The reversal of 216341272 is 272143612.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 216341272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216341273) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 253198 + ... + 254050.

It is an arithmetic number, because the mean of its divisors is an integer number (9857295).

Almost surely, 2216341272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216341272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236575080).

216341272 is an abundant number, since it is smaller than the sum of its proper divisors (256808888).

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

216341272 is a wasteful number, since it uses less digits than its factorization.

216341272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1509 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 216341272 is about 14708.5441835690. The cubic root of 216341272 is about 600.3158263196.

Adding to 216341272 its reverse (272143612), we get a palindrome (488484884).

The spelling of 216341272 in words is "two hundred sixteen million, three hundred forty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 647 853 1294 1706 2588 3412 4529 5176 5971 6824 9058 11942 18116 23884 31703 36232 41797 47768 63406 83594 126812 167188 253624 334376 551891 1103782 2207564 3863237 4415128 7726474 15452948 27042659 30905896 54085318 108170636 216341272