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220065472 = 26112313591
BaseRepresentation
bin11010001110111…
…10111011000000
3120100002111002001
431013132323000
5422314043342
633500433344
75311345204
oct1507367300
9510074061
10220065472
111032484a0
1261848854
1336791473
1421326b04
15144be8b7
hexd1deec0

220065472 has 56 divisors (see below), whose sum is σ = 497140992. Its totient is φ = 95673600.

The previous prime is 220065413. The next prime is 220065479. The reversal of 220065472 is 274560022.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 220065472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220065479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9397 + ... + 22987.

Almost surely, 2220065472 is an apocalyptic number.

220065472 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 220065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248570496).

220065472 is an abundant number, since it is smaller than the sum of its proper divisors (277075520).

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

220065472 is a wasteful number, since it uses less digits than its factorization.

220065472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13637 (or 13627 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 220065472 is about 14834.6038706802. The cubic root of 220065472 is about 603.7409529027.

The spelling of 220065472 in words is "two hundred twenty million, sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 4048 8096 13591 16192 27182 54364 108728 149501 217456 299002 312593 434912 598004 625186 869824 1196008 1250372 2392016 2500744 3438523 4784032 5001488 6877046 9568064 10002976 13754092 20005952 27508184 55016368 110032736 220065472