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21884380 = 22572137163
BaseRepresentation
bin101001101111…
…0110111011100
31112011211201121
41103132313130
521100300010
62101020324
7354004600
oct123366734
945154647
1021884380
1111398071
1273b46a4
1346c304b
142c99500
151dc43da
hex14deddc

21884380 has 72 divisors (see below), whose sum is σ = 54181008. Its totient is φ = 7402752.

The previous prime is 21884351. The next prime is 21884383. The reversal of 21884380 is 8348812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21884383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134179 + ... + 134341.

It is an arithmetic number, because the mean of its divisors is an integer number (752514).

Almost surely, 221884380 is an apocalyptic number.

21884380 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 21884380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27090504).

21884380 is an abundant number, since it is smaller than the sum of its proper divisors (32296628).

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

21884380 is a wasteful number, since it uses less digits than its factorization.

21884380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 21884380 is about 4678.0743901738. The cubic root of 21884380 is about 279.7122042929.

The spelling of 21884380 in words is "twenty-one million, eight hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 137 140 163 196 245 274 326 490 548 652 685 815 959 980 1141 1370 1630 1918 2282 2740 3260 3836 4564 4795 5705 6713 7987 9590 11410 13426 15974 19180 22331 22820 26852 31948 33565 39935 44662 67130 79870 89324 111655 134260 156317 159740 223310 312634 446620 625268 781585 1094219 1563170 2188438 3126340 4376876 5471095 10942190 21884380