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12202140 = 2235474327
BaseRepresentation
bin101110100011…
…000010011100
3211221221012010
4232203002130
511110432030
61113311220
7205500516
oct56430234
924857163
1012202140
116984715
124105510
1326b3002
141898bb6
1511106b0
hexba309c

12202140 has 48 divisors (see below), whose sum is σ = 34900992. Its totient is φ = 3183936.

The previous prime is 12202139. The next prime is 12202171. The reversal of 12202140 is 4120221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657 + ... + 4983.

It is an arithmetic number, because the mean of its divisors is an integer number (727104).

Almost surely, 212202140 is an apocalyptic number.

12202140 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 12202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450496).

12202140 is an abundant number, since it is smaller than the sum of its proper divisors (22698852).

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

12202140 is a wasteful number, since it uses less digits than its factorization.

12202140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12202140 is about 3493.1561659909. The cubic root of 12202140 is about 230.2212112440.

Adding to 12202140 its reverse (4120221), we get a palindrome (16322361).

The spelling of 12202140 in words is "twelve million, two hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 4327 8654 12981 17308 21635 25962 43270 51924 64905 86540 129810 203369 259620 406738 610107 813476 1016845 1220214 2033690 2440428 3050535 4067380 6101070 12202140