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12202420 = 2252341647
BaseRepresentation
bin101110100011…
…000110110100
3211221221120111
4232203012310
511110434140
61113312404
7205501366
oct56430664
924857514
1012202420
11698494a
124105704
1326b3189
141898d36
1511107ea
hexba31b4

12202420 has 48 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 4547840.

The previous prime is 12202381. The next prime is 12202423. The reversal of 12202420 is 2420221.

12202420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12202420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18537 + ... + 19183.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 212202420 is an apocalyptic number.

12202420 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 12202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

12202420 is an abundant number, since it is smaller than the sum of its proper divisors (15231308).

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

12202420 is a wasteful number, since it uses less digits than its factorization.

12202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 12202420 is about 3493.1962441294. The cubic root of 12202420 is about 230.2229721769. Note that the first 3 decimals are identical.

Adding to 12202420 its reverse (2420221), we get a palindrome (14622641).

The spelling of 12202420 in words is "twelve million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 647 820 943 1294 1886 2588 3235 3772 4715 6470 9430 12940 14881 18860 26527 29762 53054 59524 74405 106108 132635 148810 265270 297620 530540 610121 1220242 2440484 3050605 6101210 12202420