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1225368 = 23343161
BaseRepresentation
bin100101011001010011000
32022020220000
410223022120
5303202433
642133000
713262334
oct4531230
92266800
101225368
11767701
124b1160
1333b991
1423c7c4
15193113
hex12b298

1225368 has 80 divisors (see below), whose sum is σ = 3600960. Its totient is φ = 388800.

The previous prime is 1225361. The next prime is 1225373. The reversal of 1225368 is 8635221.

1225368 is a `hidden beast` number, since 122 + 536 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20058 + ... + 20118.

It is an arithmetic number, because the mean of its divisors is an integer number (45012).

21225368 is an apocalyptic number.

1225368 is a gapful number since it is divisible by the number (18) 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 1225368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800480).

1225368 is an abundant number, since it is smaller than the sum of its proper divisors (2375592).

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

1225368 is a wasteful number, since it uses less digits than its factorization.

1225368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1225368 is about 1106.9634140296. The cubic root of 1225368 is about 107.0094614162.

Adding to 1225368 its sum of digits (27), we get a triangular number (1225395 = T1565).

It can be divided in two parts, 12253 and 68, that added together give a palindrome (12321).

The spelling of 1225368 in words is "one million, two hundred twenty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 61 62 72 81 93 108 122 124 162 183 186 216 244 248 279 324 366 372 488 549 558 648 732 744 837 1098 1116 1464 1647 1674 1891 2196 2232 2511 3294 3348 3782 4392 4941 5022 5673 6588 6696 7564 9882 10044 11346 13176 15128 17019 19764 20088 22692 34038 39528 45384 51057 68076 102114 136152 153171 204228 306342 408456 612684 1225368