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135522200 = 235211229269
BaseRepresentation
bin10000001001111…
…10011110011000
3100110000020111202
420010332132120
5234143202300
621240413332
73233630312
oct1004763630
9313006452
10135522200
116a553920
1239477248
1322100168
1413dda7b2
15bd6ead5
hex813e798

135522200 has 96 divisors (see below), whose sum is σ = 346518000. Its totient is φ = 48883200.

The previous prime is 135522161. The next prime is 135522203. The reversal of 135522200 is 2225531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135522203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 503666 + ... + 503934.

Almost surely, 2135522200 is an apocalyptic number.

135522200 is a gapful number since it is divisible by the number (10) 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 135522200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173259000).

135522200 is an abundant number, since it is smaller than the sum of its proper divisors (210995800).

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

135522200 is a wasteful number, since it uses less digits than its factorization.

135522200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 135522200 is about 11641.4002594190. The cubic root of 135522200 is about 513.6533770057.

Adding to 135522200 its reverse (2225531), we get a palindrome (137747731).

The spelling of 135522200 in words is "one hundred thirty-five million, five hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 229 269 275 440 458 538 550 916 1076 1100 1145 1345 1832 2152 2200 2290 2519 2690 2959 4580 5038 5380 5725 5918 6725 9160 10076 10760 11450 11836 12595 13450 14795 20152 22900 23672 25190 26900 29590 45800 50380 53800 59180 61601 62975 73975 100760 118360 123202 125950 147950 246404 251900 295900 308005 492808 503800 591800 616010 677611 1232020 1355222 1540025 2464040 2710444 3080050 3388055 5420888 6160100 6776110 12320200 13552220 16940275 27104440 33880550 67761100 135522200