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136225100 = 225211592099
BaseRepresentation
bin10000001111010…
…10000101001100
3100111022221201002
420013222011030
5234333200400
621303435432
73242615504
oct1007520514
9314287632
10136225100
116a993a30
1239755b78
13222b808b
1414140a04
15be5ced5
hex81ea14c

136225100 has 72 divisors (see below), whose sum is σ = 328104000. Its totient is φ = 48673600.

The previous prime is 136225099. The next prime is 136225109. The reversal of 136225100 is 1522631.

136225100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (136225109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63851 + ... + 65949.

It is an arithmetic number, because the mean of its divisors is an integer number (4557000).

Almost surely, 2136225100 is an apocalyptic number.

136225100 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 136225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

136225100 is an abundant number, since it is smaller than the sum of its proper divisors (191878900).

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

136225100 is a wasteful number, since it uses less digits than its factorization.

136225100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 136225100 is about 11671.5508823806. The cubic root of 136225100 is about 514.5398850183.

Adding to 136225100 its reverse (1522631), we get a palindrome (137747731).

It can be divided in two parts, 1362 and 25100, that added together give a palindrome (26462).

The spelling of 136225100 in words is "one hundred thirty-six million, two hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2099 2596 2950 3245 4198 5900 6490 8396 10495 12980 16225 20990 23089 32450 41980 46178 52475 64900 92356 104950 115445 123841 209900 230890 247682 461780 495364 577225 619205 1154450 1238410 1362251 2308900 2476820 2724502 3096025 5449004 6192050 6811255 12384100 13622510 27245020 34056275 68112550 136225100