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1233216 = 26322141
BaseRepresentation
bin100101101000101000000
32022122122200
410231011000
5303430331
642233200
713324245
oct4550500
92278580
101233216
11772596
124b5800
1334241a
142415cc
151955e6
hex12d140

1233216 has 42 divisors (see below), whose sum is σ = 3536442. Its totient is φ = 410880.

The previous prime is 1233209. The next prime is 1233241. The reversal of 1233216 is 6123321.

It can be written as a sum of positive squares in only one way, i.e., 1218816 + 14400 = 1104^2 + 120^2 .

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 495 + ... + 1646.

It is an arithmetic number, because the mean of its divisors is an integer number (84201).

21233216 is an apocalyptic number.

1233216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1233216 is an abundant number, since it is smaller than the sum of its proper divisors (2303226).

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

1233216 is a wasteful number, since it uses less digits than its factorization.

1233216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2146 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 1233216 is about 1110.5025889209. The cubic root of 1233216 is about 107.2374265991.

Adding to 1233216 its reverse (6123321), we get a palindrome (7356537).

The spelling of 1233216 in words is "one million, two hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2141 4282 6423 8564 12846 17128 19269 25692 34256 38538 51384 68512 77076 102768 137024 154152 205536 308304 411072 616608 1233216