Search a number
-
+
21148596220 = 2254198326237
BaseRepresentation
bin10011101100100011…
…011111011111111100
32000120212211000001111
4103230203133133330
5321303020034340
613414315451404
71346040046633
oct235443373774
960525730044
1021148596220
118a729163a4
124122756b64
131cc0641a7b
141048a7451a
1583ba00aea
hex4ec8df7fc

21148596220 has 48 divisors (see below), whose sum is σ = 45543290688. Its totient is φ = 8244400640.

The previous prime is 21148596169. The next prime is 21148596319. The reversal of 21148596220 is 2269584112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792942 + ... + 819178.

It is an arithmetic number, because the mean of its divisors is an integer number (948818556).

Almost surely, 221148596220 is an apocalyptic number.

21148596220 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 21148596220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771645344).

21148596220 is an abundant number, since it is smaller than the sum of its proper divisors (24394694468).

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

21148596220 is a wasteful number, since it uses less digits than its factorization.

21148596220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27270 (or 27268 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 21148596220 in words is "twenty-one billion, one hundred forty-eight million, five hundred ninety-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 983 1966 3932 4915 9830 19660 26237 40303 52474 80606 104948 131185 161212 201515 262370 403030 524740 806060 1075717 2151434 4302868 5378585 10757170 21514340 25790971 51581942 103163884 128954855 257909710 515819420 1057429811 2114859622 4229719244 5287149055 10574298110 21148596220