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2285472 = 253719179
BaseRepresentation
bin1000101101111110100000
311022010002010
420231332200
51041113342
6120552520
725266120
oct10557640
94263063
102285472
111321122
12922740
13620367
14436c80
1530229c
hex22dfa0

2285472 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 615168.

The previous prime is 2285447. The next prime is 2285473. The reversal of 2285472 is 2745822.

2285472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2285473) 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 15 ways as a sum of consecutive naturals, for example, 12679 + ... + 12857.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

22285472 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 2285472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2285472 is an abundant number, since it is smaller than the sum of its proper divisors (4972128).

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

2285472 is a wasteful number, since it uses less digits than its factorization.

2285472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 2285472 is about 1511.7777614451. Note that the first 4 decimals coincide. The cubic root of 2285472 is about 131.7220966920.

The spelling of 2285472 in words is "two million, two hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 179 224 228 266 304 336 358 399 456 532 537 608 672 716 798 912 1064 1074 1253 1432 1596 1824 2128 2148 2506 2864 3192 3401 3759 4256 4296 5012 5728 6384 6802 7518 8592 10024 10203 12768 13604 15036 17184 20048 20406 23807 27208 30072 40096 40812 47614 54416 60144 71421 81624 95228 108832 120288 142842 163248 190456 285684 326496 380912 571368 761824 1142736 2285472