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2284830 = 232553479
BaseRepresentation
bin1000101101110100011110
311022002012100
420231310132
51041103310
6120545530
725264212
oct10556436
94262170
102284830
111320699
129222a6
1361cc92
14436942
15301ec0
hex22dd1e

2284830 has 48 divisors (see below), whose sum is σ = 6065280. Its totient is φ = 596544.

The previous prime is 2284757. The next prime is 2284831. The reversal of 2284830 is 384822.

It is a junction number, because it is equal to n+sod(n) for n = 2284794 and 2284803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4531 + ... + 5009.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

22284830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2284830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032640).

2284830 is an abundant number, since it is smaller than the sum of its proper divisors (3780450).

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

2284830 is a wasteful number, since it uses less digits than its factorization.

2284830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2284830 is about 1511.5654137350. The cubic root of 2284830 is about 131.7097617483.

The spelling of 2284830 in words is "two million, two hundred eighty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 479 530 795 954 958 1437 1590 2385 2395 2874 4311 4770 4790 7185 8622 14370 21555 25387 43110 50774 76161 126935 152322 228483 253870 380805 456966 761610 1142415 2284830