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2285568 = 2133231
BaseRepresentation
bin1000101110000000000000
311022010012200
420232000000
51041114233
6120553200
725266315
oct10560000
94263180
102285568
1113211aa
12922800
1362040c
14436d0c
15302313
hex22e000

2285568 has 84 divisors (see below), whose sum is σ = 6815328. Its totient is φ = 737280.

The previous prime is 2285551. The next prime is 2285581. The reversal of 2285568 is 8655822.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2 + 24 + 84 + 56 + 59 + 67 + 85 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73713 + ... + 73743.

22285568 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 2285568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407664).

2285568 is an abundant number, since it is smaller than the sum of its proper divisors (4529760).

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

2285568 is an equidigital number, since it uses as much as digits as its factorization.

2285568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 36 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2285568 is about 1511.8095118103. The cubic root of 2285568 is about 131.7239409710.

The spelling of 2285568 in words is "two million, two hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2048 2232 2304 2976 3072 3968 4096 4464 4608 5952 6144 7936 8192 8928 9216 11904 12288 15872 17856 18432 23808 24576 31744 35712 36864 47616 63488 71424 73728 95232 126976 142848 190464 253952 285696 380928 571392 761856 1142784 2285568