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1022256 = 243231229
BaseRepresentation
bin11111001100100110000
31220221021100
43321210300
5230203011
633524400
711455224
oct3714460
91827240
101022256
11639044
12413700
1329a3b1
141c8784
15152d56
hexf9930

1022256 has 60 divisors (see below), whose sum is σ = 2966080. Its totient is φ = 328320.

The previous prime is 1022251. The next prime is 1022291. The reversal of 1022256 is 6522201.

1022256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1022251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4350 + ... + 4578.

21022256 is an apocalyptic number.

1022256 is a gapful number since it is divisible by the number (16) 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 1022256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483040).

1022256 is an abundant number, since it is smaller than the sum of its proper divisors (1943824).

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

1022256 is a wasteful number, since it uses less digits than its factorization.

1022256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1022256 is about 1011.0667633742. The cubic root of 1022256 is about 100.7364300614.

Adding to 1022256 its reverse (6522201), we get a palindrome (7544457).

Subtracting 1022256 from its reverse (6522201), we obtain a palindrome (5499945).

The spelling of 1022256 in words is "one million, twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 229 248 279 372 458 496 558 687 744 916 1116 1374 1488 1832 2061 2232 2748 3664 4122 4464 5496 7099 8244 10992 14198 16488 21297 28396 32976 42594 56792 63891 85188 113584 127782 170376 255564 340752 511128 1022256