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12802230 = 2325722903
BaseRepresentation
bin110000110101…
…100010110110
3220002102100200
4300311202312
511234132410
61134221330
7213550200
oct60654266
926072320
1012802230
117254561
124354846
1328631ac
1419b3770
1511cd3c0
hexc358b6

12802230 has 72 divisors (see below), whose sum is σ = 38733552. Its totient is φ = 2925216.

The previous prime is 12802213. The next prime is 12802243. The reversal of 12802230 is 3220821.

It is a happy number.

12802230 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2959 + ... + 5861.

It is an arithmetic number, because the mean of its divisors is an integer number (537966).

Almost surely, 212802230 is an apocalyptic number.

12802230 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 12802230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19366776).

12802230 is an abundant number, since it is smaller than the sum of its proper divisors (25931322).

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

12802230 is a wasteful number, since it uses less digits than its factorization.

12802230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12802230 is about 3578.0204024013. The cubic root of 12802230 is about 233.9350027673.

The spelling of 12802230 in words is "twelve million, eight hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 2903 4410 5806 8709 14515 17418 20321 26127 29030 40642 43545 52254 60963 87090 101605 121926 130635 142247 182889 203210 261270 284494 304815 365778 426741 609630 711235 853482 914445 1280223 1422470 1828890 2133705 2560446 4267410 6401115 12802230