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2266624 = 2919233
BaseRepresentation
bin1000101001011000000000
311021011020001
420221120000
51040012444
6120325344
725160143
oct10513000
94234201
102266624
111308a48
12913854
136148c9
1443005a
152eb8d4
hex229600

2266624 has 40 divisors (see below), whose sum is σ = 4787640. Its totient is φ = 1069056.

The previous prime is 2266619. The next prime is 2266631. The reversal of 2266624 is 4266622.

It is a d-powerful number, because it can be written as 25 + 213 + 65 + 66 + 68 + 219 + 43 .

It is a junction number, because it is equal to n+sod(n) for n = 2266592 and 2266601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9612 + ... + 9844.

It is an arithmetic number, because the mean of its divisors is an integer number (119691).

22266624 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 2266624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393820).

2266624 is an abundant number, since it is smaller than the sum of its proper divisors (2521016).

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

2266624 is an equidigital number, since it uses as much as digits as its factorization.

2266624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 2266624 is about 1505.5311355133. The cubic root of 2266624 is about 131.3589981938.

The spelling of 2266624 in words is "two million, two hundred sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 233 256 304 466 512 608 932 1216 1864 2432 3728 4427 4864 7456 8854 9728 14912 17708 29824 35416 59648 70832 119296 141664 283328 566656 1133312 2266624