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1226232 = 23337811
BaseRepresentation
bin100101011010111111000
32022022002000
410223113320
5303214412
642141000
713265010
oct4532770
92268060
101226232
11768317
124b1760
1333c1a7
1423cc40
151934dc
hex12b5f8

1226232 has 64 divisors (see below), whose sum is σ = 3897600. Its totient is φ = 349920.

The previous prime is 1226213. The next prime is 1226237. The reversal of 1226232 is 2326221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 22 + 25 + 63 + 28 + 311 + 220 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226237) 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, 1107 + ... + 1917.

It is an arithmetic number, because the mean of its divisors is an integer number (60900).

21226232 is an apocalyptic number.

1226232 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 1226232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948800).

1226232 is an abundant number, since it is smaller than the sum of its proper divisors (2671368).

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

1226232 is a wasteful number, since it uses less digits than its factorization.

1226232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 823 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 1226232 is about 1107.3536020621. The cubic root of 1226232 is about 107.0346060947.

It can be divided in two parts, 12 and 26232, that added together give a square (26244 = 1622).

The spelling of 1226232 in words is "one million, two hundred twenty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 811 1512 1622 2433 3244 4866 5677 6488 7299 9732 11354 14598 17031 19464 21897 22708 29196 34062 43794 45416 51093 58392 68124 87588 102186 136248 153279 175176 204372 306558 408744 613116 1226232