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2284452 = 2232233189
BaseRepresentation
bin1000101101101110100100
311022001200100
420231232210
51041100302
6120544100
725263132
oct10555644
94261610
102284452
111320385
12922030
1361ca61
14436752
15301d1c
hex22dba4

2284452 has 72 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 696960.

The previous prime is 2284441. The next prime is 2284481. The reversal of 2284452 is 2544822.

It is a happy number.

2284452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25624 + ... + 25712.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

22284452 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 2284452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2284452 is an abundant number, since it is smaller than the sum of its proper divisors (4005468).

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

2284452 is a wasteful number, since it uses less digits than its factorization.

2284452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2284452 is about 1511.4403726247. The cubic root of 2284452 is about 131.7024980371.

The spelling of 2284452 in words is "two million, two hundred eighty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 89 92 93 124 138 178 186 207 267 276 279 356 372 414 534 558 713 801 828 1068 1116 1426 1602 2047 2139 2759 2852 3204 4094 4278 5518 6141 6417 8188 8277 8556 11036 12282 12834 16554 18423 24564 24831 25668 33108 36846 49662 63457 73692 99324 126914 190371 253828 380742 571113 761484 1142226 2284452