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12272352 = 253127837
BaseRepresentation
bin101110110100…
…001011100000
3212002111111120
4232310023200
511120203402
61115012240
7206212311
oct56641340
925074446
1012272352
116a22444
12413a080
132708c61
1418b6608
1511263bc
hexbb42e0

12272352 has 24 divisors (see below), whose sum is σ = 32215176. Its totient is φ = 4090752.

The previous prime is 12272341. The next prime is 12272357. The reversal of 12272352 is 25327221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×122723522 = 301221247223808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272357) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 63823 + ... + 64014.

It is an arithmetic number, because the mean of its divisors is an integer number (1342299).

Almost surely, 212272352 is an apocalyptic number.

12272352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12272352 is an abundant number, since it is smaller than the sum of its proper divisors (19942824).

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

12272352 is a wasteful number, since it uses less digits than its factorization.

12272352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127850 (or 127842 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 12272352 is about 3503.1916875900. The cubic root of 12272352 is about 230.6619368575.

Adding to 12272352 its reverse (25327221), we get a palindrome (37599573).

The spelling of 12272352 in words is "twelve million, two hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127837 255674 383511 511348 767022 1022696 1534044 2045392 3068088 4090784 6136176 12272352