Search a number
-
+
1218224 = 24773149
BaseRepresentation
bin100101001011010110000
32021220002102
410221122300
5302440344
642035532
713232450
oct4513260
92256072
101218224
117622a7
124a8ba8
13338657
14239d60
15190e4e
hex1296b0

1218224 has 40 divisors (see below), whose sum is σ = 2752800. Its totient is φ = 511488.

The previous prime is 1218221. The next prime is 1218247. The reversal of 1218224 is 4228121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1218196 and 1218205.

It is not an unprimeable number, because it can be changed into a prime (1218221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8102 + ... + 8250.

It is an arithmetic number, because the mean of its divisors is an integer number (68820).

21218224 is an apocalyptic number.

1218224 is a gapful number since it is divisible by the number (14) 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 1218224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376400).

1218224 is an abundant number, since it is smaller than the sum of its proper divisors (1534576).

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

1218224 is a wasteful number, since it uses less digits than its factorization.

1218224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 1218224 is about 1103.7318514929. The cubic root of 1218224 is about 106.8010978673.

The spelling of 1218224 in words is "one million, two hundred eighteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 149 292 298 511 584 596 1022 1043 1168 1192 2044 2086 2384 4088 4172 8176 8344 10877 16688 21754 43508 76139 87016 152278 174032 304556 609112 1218224