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1222144 = 2971131
BaseRepresentation
bin100101010011000000000
32022002110121
410222120000
5303102034
642110024
713250050
oct4523000
92262417
101222144
11765240
124ab314
1333a381
1423b560
151921b4
hex12a600

1222144 has 80 divisors (see below), whose sum is σ = 3142656. Its totient is φ = 460800.

The previous prime is 1222129. The next prime is 1222157. The reversal of 1222144 is 4412221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39409 + ... + 39439.

21222144 is an apocalyptic number.

1222144 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 1222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571328).

1222144 is an abundant number, since it is smaller than the sum of its proper divisors (1920512).

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

1222144 is an equidigital number, since it uses as much as digits as its factorization.

1222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 51 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 1222144 is about 1105.5062188880. The cubic root of 1222144 is about 106.9155300379.

Adding to 1222144 its reverse (4412221), we get a palindrome (5634365).

The spelling of 1222144 in words is "one million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 128 154 176 217 224 248 256 308 341 352 434 448 496 512 616 682 704 868 896 992 1232 1364 1408 1736 1792 1984 2387 2464 2728 2816 3472 3584 3968 4774 4928 5456 5632 6944 7936 9548 9856 10912 13888 15872 19096 19712 21824 27776 38192 39424 43648 55552 76384 87296 111104 152768 174592 305536 611072 1222144