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12202320 = 2435133911
BaseRepresentation
bin101110100011…
…000101010000
3211221221102210
4232203011100
511110433240
61113312120
7205501164
oct56430520
924857383
1012202320
116984869
124105640
1326b3110
141898ca4
151110780
hexba3150

12202320 has 80 divisors (see below), whose sum is σ = 40747392. Its totient is φ = 3002880.

The previous prime is 12202319. The next prime is 12202331. The reversal of 12202320 is 2320221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122023202 = 297793226764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12202296 and 12202305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1165 + ... + 5075.

Almost surely, 212202320 is an apocalyptic number.

12202320 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 12202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20373696).

12202320 is an abundant number, since it is smaller than the sum of its proper divisors (28545072).

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

12202320 is a wasteful number, since it uses less digits than its factorization.

12202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12202320 is about 3493.1819305613. The cubic root of 12202320 is about 230.2223432754. Note that the first 3 decimals are identical.

Adding to 12202320 its reverse (2320221), we get a palindrome (14522541).

The spelling of 12202320 in words is "twelve million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3911 7822 11733 15644 19555 23466 31288 39110 46932 50843 58665 62576 78220 93864 101686 117330 152529 156440 187728 203372 234660 254215 305058 312880 406744 469320 508430 610116 762645 813488 938640 1016860 1220232 1525290 2033720 2440464 3050580 4067440 6101160 12202320