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21925280 = 2551383127
BaseRepresentation
bin101001110100…
…0110110100000
31112020220211102
41103220312200
521103102110
62101533532
7354235046
oct123506640
945226742
1021925280
1111415873
1274142a8
134708850
142caa396
151dd15a5
hex14e8da0

21925280 has 96 divisors (see below), whose sum is σ = 56899584. Its totient is φ = 7934976.

The previous prime is 21925273. The next prime is 21925289. The reversal of 21925280 is 8252912.

It is not an unprimeable number, because it can be changed into a prime (21925289) 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 15 ways as a sum of consecutive naturals, for example, 172577 + ... + 172703.

It is an arithmetic number, because the mean of its divisors is an integer number (592704).

Almost surely, 221925280 is an apocalyptic number.

21925280 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 21925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28449792).

21925280 is an abundant number, since it is smaller than the sum of its proper divisors (34974304).

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

21925280 is a wasteful number, since it uses less digits than its factorization.

21925280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 21925280 is about 4682.4438063900. The cubic root of 21925280 is about 279.8863484331.

The spelling of 21925280 in words is "twenty-one million, nine hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 83 104 127 130 160 166 208 254 260 332 415 416 508 520 635 664 830 1016 1040 1079 1270 1328 1651 1660 2032 2080 2158 2540 2656 3302 3320 4064 4316 5080 5395 6604 6640 8255 8632 10160 10541 10790 13208 13280 16510 17264 20320 21082 21580 26416 33020 34528 42164 43160 52705 52832 66040 84328 86320 105410 132080 137033 168656 172640 210820 264160 274066 337312 421640 548132 685165 843280 1096264 1370330 1686560 2192528 2740660 4385056 5481320 10962640 21925280