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202044132 = 2234718783
BaseRepresentation
bin11000000101011…
…11001011100100
3112002011220110000
430002233023210
5403210403012
632014301300
75002226643
oct1402571344
9462156400
10202044132
11a4059824
12577b7830
1332b21854
141cb9535a
1512b0eddc
hexc0af2e4

202044132 has 60 divisors (see below), whose sum is σ = 535683456. Its totient is φ = 66391920.

The previous prime is 202044107. The next prime is 202044169. The reversal of 202044132 is 231440202.

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18613 + ... + 27395.

Almost surely, 2202044132 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 202044132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267841728).

202044132 is an abundant number, since it is smaller than the sum of its proper divisors (333639324).

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

202044132 is a wasteful number, since it uses less digits than its factorization.

202044132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8859 counting only the distinct ones).

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

The square root of 202044132 is about 14214.2228771045. Note that the first 3 decimals coincide. The cubic root of 202044132 is about 586.7891575901.

Adding to 202044132 its reverse (231440202), we get a palindrome (433484334).

It can be divided in two parts, 20204 and 4132, that added together give a square (24336 = 1562).

The spelling of 202044132 in words is "two hundred two million, forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 426 639 852 1278 1917 2556 3834 5751 7668 8783 11502 17566 23004 26349 35132 52698 79047 105396 158094 237141 316188 474282 623593 711423 948564 1247186 1422846 1870779 2494372 2845692 3741558 5612337 7483116 11224674 16837011 22449348 33674022 50511033 67348044 101022066 202044132