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21814272 = 21034263
BaseRepresentation
bin101001100110…
…1110000000000
31112001021120000
41103031300000
521041024042
62055320000
7353263314
oct123156000
945037500
1021814272
111134a427
127380000
13469a16c
142c7bb44
151dad74c
hex14cdc00

21814272 has 110 divisors (see below), whose sum is σ = 65389368. Its totient is φ = 7243776.

The previous prime is 21814249. The next prime is 21814277. The reversal of 21814272 is 27241812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21814277) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82813 + ... + 83075.

Almost surely, 221814272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21814272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32694684).

21814272 is an abundant number, since it is smaller than the sum of its proper divisors (43575096).

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

21814272 is an equidigital number, since it uses as much as digits as its factorization.

21814272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 21814272 is about 4670.5751251853. The cubic root of 21814272 is about 279.4131928326.

The spelling of 21814272 in words is "twenty-one million, eight hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 263 288 324 384 432 512 526 576 648 768 789 864 1024 1052 1152 1296 1536 1578 1728 2104 2304 2367 2592 3072 3156 3456 4208 4608 4734 5184 6312 6912 7101 8416 9216 9468 10368 12624 13824 14202 16832 18936 20736 21303 25248 27648 28404 33664 37872 41472 42606 50496 56808 67328 75744 82944 85212 100992 113616 134656 151488 170424 201984 227232 269312 302976 340848 403968 454464 605952 681696 807936 908928 1211904 1363392 1817856 2423808 2726784 3635712 5453568 7271424 10907136 21814272