Search a number
-
+
12234810 = 235732941
BaseRepresentation
bin101110101011…
…000000111010
3212000121000010
4232223000322
511113003220
61114122350
7205665000
oct56530072
925017003
1012234810
1169a7215
1241203b6
1326c4b43
1418a6a70
15111a1e0
hexbab03a

12234810 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 2634240.

The previous prime is 12234793. The next prime is 12234811. The reversal of 12234810 is 1843221.

12234810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122348102 = 299381151472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298390 + ... + 298430.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 212234810 is an apocalyptic number.

12234810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12234810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

12234810 is an abundant number, since it is smaller than the sum of its proper divisors (24053190).

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

12234810 is a wasteful number, since it uses less digits than its factorization.

12234810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12234810 is about 3497.8293268826. The cubic root of 12234810 is about 230.4264928424.

The spelling of 12234810 in words is "twelve million, two hundred thirty-four thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 41 42 49 58 70 82 87 98 105 123 145 147 174 203 205 210 245 246 287 290 294 343 406 410 435 490 574 609 615 686 735 861 870 1015 1029 1189 1218 1230 1421 1435 1470 1715 1722 2009 2030 2058 2378 2842 2870 3045 3430 3567 4018 4263 4305 5145 5945 6027 6090 7105 7134 8323 8526 8610 9947 10045 10290 11890 12054 14063 14210 16646 17835 19894 20090 21315 24969 28126 29841 30135 35670 41615 42189 42630 49735 49938 58261 59682 60270 70315 83230 84378 99470 116522 124845 140630 149205 174783 210945 249690 291305 298410 349566 407827 421890 582610 815654 873915 1223481 1747830 2039135 2446962 4078270 6117405 12234810