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221422344 = 2331113149433
BaseRepresentation
bin11010011001010…
…10001100001000
3120102122102100120
431030222030020
5423141003334
633545503240
75326026123
oct1514521410
9512572316
10221422344
11103a94980
12621a1b20
1336b47c50
142159b3ba
151468b949
hexd32a308

221422344 has 128 divisors (see below), whose sum is σ = 656208000. Its totient is φ = 61378560.

The previous prime is 221422309. The next prime is 221422349. The reversal of 221422344 is 443224122.

221422344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221422349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511152 + ... + 511584.

It is an arithmetic number, because the mean of its divisors is an integer number (5126625).

Almost surely, 2221422344 is an apocalyptic number.

221422344 is a gapful number since it is divisible by the number (24) 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 221422344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104000).

221422344 is an abundant number, since it is smaller than the sum of its proper divisors (434785656).

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

221422344 is a wasteful number, since it uses less digits than its factorization.

221422344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 611 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 221422344 is about 14880.2669330896. The cubic root of 221422344 is about 604.9792529825.

Adding to 221422344 its reverse (443224122), we get a palindrome (664646466).

The spelling of 221422344 in words is "two hundred twenty-one million, four hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 149 156 264 286 298 312 429 433 447 572 596 858 866 894 1144 1192 1299 1639 1716 1732 1788 1937 2598 3278 3432 3464 3576 3874 4763 4917 5196 5629 5811 6556 7748 9526 9834 10392 11258 11622 13112 14289 15496 16887 19052 19668 21307 22516 23244 28578 33774 38104 39336 42614 45032 46488 57156 61919 63921 64517 67548 85228 114312 123838 127842 129034 135096 170456 185757 193551 247676 255684 258068 371514 387102 495352 511368 516136 709687 743028 774204 838721 1419374 1486056 1548408 1677442 2129061 2516163 2838748 3354884 4258122 5032326 5677496 6709768 8516244 9225931 10064652 17032488 18451862 20129304 27677793 36903724 55355586 73807448 110711172 221422344