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201022344 = 23334122699
BaseRepresentation
bin10111111101101…
…01101110001000
3112000020222211000
423332311232020
5402430203334
631540335000
74660442655
oct1376655610
9460228730
10201022344
11a3521076
12573a4460
1332854743
141c9aac2c
15129ac299
hexbfb5b88

201022344 has 64 divisors (see below), whose sum is σ = 572040000. Its totient is φ = 65370240.

The previous prime is 201022333. The next prime is 201022351. The reversal of 201022344 is 443220102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2494 + ... + 20205.

It is an arithmetic number, because the mean of its divisors is an integer number (8938125).

Almost surely, 2201022344 is an apocalyptic number.

201022344 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 201022344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286020000).

201022344 is an abundant number, since it is smaller than the sum of its proper divisors (371017656).

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

201022344 is a wasteful number, since it uses less digits than its factorization.

201022344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22755 (or 22745 counting only the distinct ones).

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

The square root of 201022344 is about 14178.2348689814. The cubic root of 201022344 is about 585.7983052524.

Adding to 201022344 its reverse (443220102), we get a palindrome (644242446).

The spelling of 201022344 in words is "two hundred one million, twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 22699 45398 68097 90796 136194 181592 204291 272388 408582 544776 612873 817164 930659 1225746 1634328 1861318 2451492 2791977 3722636 4902984 5583954 7445272 8375931 11167908 16751862 22335816 25127793 33503724 50255586 67007448 100511172 201022344