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2269284 = 2231937269
BaseRepresentation
bin1000101010000001100100
311021021212120
420222001210
51040104114
6120345540
725200663
oct10520144
94237776
102269284
11130aa46
129152b0
13615b94
14430dda
152ec5a9
hex22a064

2269284 has 48 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 694656.

The previous prime is 2269283. The next prime is 2269307. The reversal of 2269284 is 4829622.

It is not an unprimeable number, because it can be changed into a prime (2269283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8302 + ... + 8570.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

22269284 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 2269284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2269284 is an abundant number, since it is smaller than the sum of its proper divisors (3476316).

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

2269284 is a wasteful number, since it uses less digits than its factorization.

2269284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 330 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2269284 is about 1506.4142856465. The cubic root of 2269284 is about 131.4103636222.

It can be divided in two parts, 22692 and 84, that multiplied together give a triangular number (1906128 = T1952).

The spelling of 2269284 in words is "two million, two hundred sixty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 269 444 538 703 807 1076 1406 1614 2109 2812 3228 4218 5111 8436 9953 10222 15333 19906 20444 29859 30666 39812 59718 61332 119436 189107 378214 567321 756428 1134642 2269284