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2246064 = 24373641
BaseRepresentation
bin1000100100010110110000
311020010000120
420210112300
51033333224
6120050240
725043202
oct10442660
94203016
102246064
1112a4557
12903980
13608442
14426772
152e5779
hex2245b0

2246064 has 40 divisors (see below), whose sum is σ = 5890992. Its totient is φ = 737280.

The previous prime is 2246053. The next prime is 2246077. The reversal of 2246064 is 4606422.

It is a super-3 number, since 3×22460643 = 33992854532013330432, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 217 + 221 + 45 + 63 + 0 + 63 + 47 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3184 + ... + 3824.

22246064 is an apocalyptic number.

2246064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945496).

2246064 is an abundant number, since it is smaller than the sum of its proper divisors (3644928).

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

2246064 is a wasteful number, since it uses less digits than its factorization.

2246064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2246064 is about 1498.6874257162. The cubic root of 2246064 is about 130.9606159407.

The spelling of 2246064 in words is "two million, two hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 641 876 1168 1282 1752 1923 2564 3504 3846 5128 7692 10256 15384 30768 46793 93586 140379 187172 280758 374344 561516 748688 1123032 2246064