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21440232 = 233211223107
BaseRepresentation
bin101000111001…
…0011011101000
31111100021110200
41101302123220
520442041412
62043312200
7350144652
oct121623350
944307420
1021440232
1111114400
12721b660
134598b38
142bc16d2
151d379dc
hex14726e8

21440232 has 144 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 6156480.

The previous prime is 21440207. The next prime is 21440233. The reversal of 21440232 is 23204412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (21440233) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200323 + ... + 200429.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 221440232 is an apocalyptic number.

21440232 is a gapful number since it is divisible by the number (22) 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 21440232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

21440232 is an abundant number, since it is smaller than the sum of its proper divisors (45783288).

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

21440232 is a wasteful number, since it uses less digits than its factorization.

21440232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 21440232 is about 4630.3598132327. The cubic root of 21440232 is about 277.8069843542.

Adding to 21440232 its reverse (23204412), we get a palindrome (44644644).

The spelling of 21440232 in words is "twenty-one million, four hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 107 121 132 138 184 198 207 214 242 253 264 276 321 363 396 414 428 484 506 552 642 726 759 792 828 856 963 968 1012 1089 1177 1284 1452 1518 1656 1926 2024 2178 2277 2354 2461 2568 2783 2904 3036 3531 3852 4356 4554 4708 4922 5566 6072 7062 7383 7704 8349 8712 9108 9416 9844 10593 11132 12947 14124 14766 16698 18216 19688 21186 22149 22264 25047 25894 27071 28248 29532 33396 38841 42372 44298 50094 51788 54142 59064 66792 77682 81213 84744 88596 100188 103576 108284 116523 155364 162426 177192 200376 216568 233046 243639 297781 310728 324852 466092 487278 595562 649704 893343 932184 974556 1191124 1786686 1949112 2382248 2680029 3573372 5360058 7146744 10720116 21440232