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120225500 = 2253832897
BaseRepresentation
bin1110010101001…
…11111011011100
322101020002101022
413022213323130
5221234204000
615532503312
72656620443
oct712477334
9271202338
10120225500
116195621a
123431ab38
131bba5765
1411d77d5a
15a84c585
hex72a7edc

120225500 has 48 divisors (see below), whose sum is σ = 265827744. Its totient is φ = 47494400.

The previous prime is 120225493. The next prime is 120225509. The reversal of 120225500 is 5522021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120225509) 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 15 ways as a sum of consecutive naturals, for example, 40052 + ... + 42948.

It is an arithmetic number, because the mean of its divisors is an integer number (5538078).

Almost surely, 2120225500 is an apocalyptic number.

120225500 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 120225500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132913872).

120225500 is an abundant number, since it is smaller than the sum of its proper divisors (145602244).

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

120225500 is a wasteful number, since it uses less digits than its factorization.

120225500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 120225500 is about 10964.7389389807. The cubic root of 120225500 is about 493.5511831060.

Adding to 120225500 its reverse (5522021), we get a palindrome (125747521).

The spelling of 120225500 in words is "one hundred twenty million, two hundred twenty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 125 166 250 332 415 500 830 1660 2075 2897 4150 5794 8300 10375 11588 14485 20750 28970 41500 57940 72425 144850 240451 289700 362125 480902 724250 961804 1202255 1448500 2404510 4809020 6011275 12022550 24045100 30056375 60112750 120225500