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20212240 = 245733461
BaseRepresentation
bin100110100011…
…0101000010000
31102000212222111
41031012220100
520133242430
62001115104
7333541546
oct115065020
942025874
1020212240
1110455834
126928a94
134258c09
142981d96
151b93c2a
hex1346a10

20212240 has 40 divisors (see below), whose sum is σ = 47650968. Its totient is φ = 7971840.

The previous prime is 20212223. The next prime is 20212259. The reversal of 20212240 is 4221202.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 19465744 = 864^2 + 4412^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 20212240.

It is a congruent number.

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, 4110 + ... + 7570.

Almost surely, 220212240 is an apocalyptic number.

20212240 is a gapful number since it is divisible by the number (20) 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 20212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23825484).

20212240 is an abundant number, since it is smaller than the sum of its proper divisors (27438728).

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

20212240 is a wasteful number, since it uses less digits than its factorization.

20212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 20212240 is about 4495.8024867647. The cubic root of 20212240 is about 272.3985650579.

Adding to 20212240 its reverse (4221202), we get a palindrome (24433442).

The spelling of 20212240 in words is "twenty million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 3461 5840 6922 13844 17305 27688 34610 55376 69220 138440 252653 276880 505306 1010612 1263265 2021224 2526530 4042448 5053060 10106120 20212240