Search a number
-
+
12422240 = 255174567
BaseRepresentation
bin101111011000…
…110001100000
3212101010002222
4233120301200
511140002430
61122130212
7210405305
oct57306140
925333088
1012422240
117015016
1241b0968
13275c24c
1419150ac
1511559e5
hexbd8c60

12422240 has 48 divisors (see below), whose sum is σ = 31080672. Its totient is φ = 4675584.

The previous prime is 12422209. The next prime is 12422243. The reversal of 12422240 is 4222421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422243) 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 7 ways as a sum of consecutive naturals, for example, 437 + ... + 5003.

It is an arithmetic number, because the mean of its divisors is an integer number (647514).

Almost surely, 212422240 is an apocalyptic number.

12422240 is a gapful number since it is divisible by the number (10) 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 12422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15540336).

12422240 is an abundant number, since it is smaller than the sum of its proper divisors (18658432).

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

12422240 is a wasteful number, since it uses less digits than its factorization.

12422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 12422240 is about 3524.5198254514. The cubic root of 12422240 is about 231.5972003881.

Adding to 12422240 its reverse (4222421), we get a palindrome (16644661).

The spelling of 12422240 in words is "twelve million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 4567 9134 18268 22835 36536 45670 73072 77639 91340 146144 155278 182680 310556 365360 388195 621112 730720 776390 1242224 1552780 2484448 3105560 6211120 12422240