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12198252 = 22311231271
BaseRepresentation
bin101110100010…
…000101101100
3211221201212010
4232202011230
511110321002
61113241220
7205453263
oct56420554
924851763
1012198252
116981800
124103210
1326b1301
1418975da
15110e46c
hexba216c

12198252 has 72 divisors (see below), whose sum is σ = 32413696. Its totient is φ = 3564000.

The previous prime is 12198229. The next prime is 12198259. The reversal of 12198252 is 25289121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12198259) 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 23 ways as a sum of consecutive naturals, for example, 44877 + ... + 45147.

Almost surely, 212198252 is an apocalyptic number.

12198252 is a gapful number since it is divisible by the number (12) 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 12198252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16206848).

12198252 is an abundant number, since it is smaller than the sum of its proper divisors (20215444).

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

12198252 is a wasteful number, since it uses less digits than its factorization.

12198252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 12198252 is about 3492.5996048789. The cubic root of 12198252 is about 230.1967566496.

The spelling of 12198252 in words is "twelve million, one hundred ninety-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 271 341 363 372 484 542 682 726 813 1023 1084 1364 1452 1626 2046 2981 3252 3751 4092 5962 7502 8401 8943 11253 11924 15004 16802 17886 22506 25203 32791 33604 35772 45012 50406 65582 92411 98373 100812 131164 184822 196746 277233 369644 393492 554466 1016521 1108932 2033042 3049563 4066084 6099126 12198252