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20122000 = 245310061
BaseRepresentation
bin100110011000…
…0100110010000
31101212022012021
41030300212100
520122401000
61555141224
7333014503
oct114604620
941768167
1020122000
11103a3a58
1268a4814
134226b12
14295b13a
151b7711a
hex1330990

20122000 has 40 divisors (see below), whose sum is σ = 48659832. Its totient is φ = 8048000.

The previous prime is 20121989. The next prime is 20122031. The reversal of 20122000 is 22102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 19501056 = 788^2 + 4416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3031 + ... + 7030.

Almost surely, 220122000 is an apocalyptic number.

20122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122000 is an abundant number, since it is smaller than the sum of its proper divisors (28537832).

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

20122000 is a wasteful number, since it uses less digits than its factorization.

20122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10084 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 20122000 is about 4485.7552318422. The cubic root of 20122000 is about 271.9925747685.

Adding to 20122000 its reverse (22102), we get a palindrome (20144102).

It can be divided in two parts, 201 and 22000, that added together give a square (22201 = 1492).

The spelling of 20122000 in words is "twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10061 20122 40244 50305 80488 100610 160976 201220 251525 402440 503050 804880 1006100 1257625 2012200 2515250 4024400 5030500 10061000 20122000