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1009224 = 2332107131
BaseRepresentation
bin11110110011001001000
31220021101200
43312121020
5224243344
633344200
711402226
oct3663110
91807350
101009224
1162a277
12408060
13294498
141c3b16
1514e069
hexf6648

1009224 has 48 divisors (see below), whose sum is σ = 2779920. Its totient is φ = 330720.

The previous prime is 1009207. The next prime is 1009237. The reversal of 1009224 is 4229001.

1009224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1009197 and 1009206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7639 + ... + 7769.

It is an arithmetic number, because the mean of its divisors is an integer number (57915).

21009224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389960).

1009224 is an abundant number, since it is smaller than the sum of its proper divisors (1770696).

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

1009224 is a wasteful number, since it uses less digits than its factorization.

1009224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1009224 is about 1004.6014134969. The cubic root of 1009224 is about 100.3065261240.

The spelling of 1009224 in words is "one million, nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 131 214 262 321 393 428 524 642 786 856 963 1048 1179 1284 1572 1926 2358 2568 3144 3852 4716 7704 9432 14017 28034 42051 56068 84102 112136 126153 168204 252306 336408 504612 1009224