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220201344 = 27321117377
BaseRepresentation
bin11010010000000…
…00000110000000
3120100100101110100
431020000012000
5422332420334
633503402400
75312452266
oct1510000600
9510311410
10220201344
11103330590
12618b3400
133680b26c
1421360436
15144e9c99
hexd200180

220201344 has 96 divisors (see below), whose sum is σ = 691296840. Its totient is φ = 66723840.

The previous prime is 220201343. The next prime is 220201381. The reversal of 220201344 is 443102022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3984 + ... + 21360.

Almost surely, 2220201344 is an apocalyptic number.

220201344 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 220201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345648420).

220201344 is an abundant number, since it is smaller than the sum of its proper divisors (471095496).

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

220201344 is a wasteful number, since it uses less digits than its factorization.

220201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17408 (or 17393 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220201344 is about 14839.1827268216. The cubic root of 220201344 is about 603.8651804992.

Adding to 220201344 its reverse (443102022), we get a palindrome (663303366).

The spelling of 220201344 in words is "two hundred twenty million, two hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 17377 34754 52131 69508 104262 139016 156393 191147 208524 278032 312786 382294 417048 556064 573441 625572 764588 834096 1112128 1146882 1251144 1529176 1668192 1720323 2224256 2293764 2502288 3058352 3336384 3440646 4587528 5004576 6116704 6672768 6881292 9175056 10009152 12233408 13762584 18350112 20018304 24466816 27525168 36700224 55050336 73400448 110100672 220201344