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201300552 = 23342411289
BaseRepresentation
bin10111111111110…
…01101001001000
3112000210010110000
423333321221020
5403013104202
631550323000
74663012035
oct1377715110
9460703400
10201300552
11a36a10a2
12574b9460
133292126b
141ca4038c
1512a1491c
hexbff9a48

201300552 has 80 divisors (see below), whose sum is σ = 566606700. Its totient is φ = 66769920.

The previous prime is 201300527. The next prime is 201300559. The reversal of 201300552 is 255003102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 183710916 + 17589636 = 13554^2 + 4194^2 .

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

It is not an unprimeable number, because it can be changed into a prime (201300559) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 155524 + ... + 156812.

Almost surely, 2201300552 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 201300552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283303350).

201300552 is an abundant number, since it is smaller than the sum of its proper divisors (365306148).

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

201300552 is a wasteful number, since it uses less digits than its factorization.

201300552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 201300552 is about 14188.0425711231. The cubic root of 201300552 is about 586.0684222389.

Adding to 201300552 its reverse (255003102), we get a palindrome (456303654).

The spelling of 201300552 in words is "two hundred one million, three hundred thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 241 324 482 648 723 964 1289 1446 1928 2169 2578 2892 3867 4338 5156 5784 6507 7734 8676 10312 11601 13014 15468 17352 19521 23202 26028 30936 34803 39042 46404 52056 69606 78084 92808 104409 139212 156168 208818 278424 310649 417636 621298 835272 931947 1242596 1863894 2485192 2795841 3727788 5591682 7455576 8387523 11183364 16775046 22366728 25162569 33550092 50325138 67100184 100650276 201300552