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12223500 = 2235329281
BaseRepresentation
bin101110101000…
…010000001100
3212000000111020
4232220100030
511112123000
61113554140
7205620012
oct56502014
925000436
1012223500
116999773
124115950
1326bc953
1418a28b2
151116ba0
hexba840c

12223500 has 96 divisors (see below), whose sum is σ = 36953280. Its totient is φ = 3136000.

The previous prime is 12223483. The next prime is 12223501. The reversal of 12223500 is 532221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12223500.

It is not an unprimeable number, because it can be changed into a prime (12223501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43360 + ... + 43640.

It is an arithmetic number, because the mean of its divisors is an integer number (384930).

Almost surely, 212223500 is an apocalyptic number.

12223500 is a gapful number since it is divisible by the number (10) 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 12223500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476640).

12223500 is an abundant number, since it is smaller than the sum of its proper divisors (24729780).

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

12223500 is a wasteful number, since it uses less digits than its factorization.

12223500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12223500 is about 3496.2122361207. The cubic root of 12223500 is about 230.3554679800.

Adding to 12223500 its reverse (532221), we get a palindrome (12755721).

The spelling of 12223500 in words is "twelve million, two hundred twenty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 125 145 150 174 250 281 290 300 348 375 435 500 562 580 725 750 843 870 1124 1405 1450 1500 1686 1740 2175 2810 2900 3372 3625 4215 4350 5620 7025 7250 8149 8430 8700 10875 14050 14500 16298 16860 21075 21750 24447 28100 32596 35125 40745 42150 43500 48894 70250 81490 84300 97788 105375 122235 140500 162980 203725 210750 244470 407450 421500 488940 611175 814900 1018625 1222350 2037250 2444700 3055875 4074500 6111750 12223500