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2272284 = 2232771127
BaseRepresentation
bin1000101010110000011100
311021102222200
420222300130
51040203114
6120411500
725212510
oct10526034
94242880
102272284
111312223
12916b90
13617361
14432140
152ed409
hex22ac1c

2272284 has 72 divisors (see below), whose sum is σ = 6709248. Its totient is φ = 635040.

The previous prime is 2272273. The next prime is 2272297. The reversal of 2272284 is 4822722.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17829 + ... + 17955.

It is an arithmetic number, because the mean of its divisors is an integer number (93184).

22272284 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 2272284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354624).

2272284 is an abundant number, since it is smaller than the sum of its proper divisors (4436964).

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

2272284 is a wasteful number, since it uses less digits than its factorization.

2272284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 210 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 2272284 is about 1507.4096987880. The cubic root of 2272284 is about 131.4682464160.

It can be divided in two parts, 2272 and 284, that added together give a triangular number (2556 = T71).

The spelling of 2272284 in words is "two million, two hundred seventy-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 127 142 213 252 254 284 381 426 497 508 639 762 852 889 994 1143 1278 1491 1524 1778 1988 2286 2556 2667 2982 3556 4473 4572 5334 5964 8001 8946 9017 10668 16002 17892 18034 27051 32004 36068 54102 63119 81153 108204 126238 162306 189357 252476 324612 378714 568071 757428 1136142 2272284