Search a number
-
+
2266374 = 2311231493
BaseRepresentation
bin1000101001010100000110
311021010212210
420221110012
51040010444
6120324250
725156335
oct10512406
94233783
102266374
111308840
12913686
13614766
1442dd1c
152eb7b9
hex229506

2266374 has 32 divisors (see below), whose sum is σ = 5163264. Its totient is φ = 656480.

The previous prime is 2266343. The next prime is 2266403. The reversal of 2266374 is 4736622.

It is a super-2 number, since 2×22663742 = 10272902215752, which contains 22 as substring.

It is a d-powerful number, because it can be written as 211 + 219 + 6 + 68 + 310 + 73 + 45 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772 + ... + 2264.

It is an arithmetic number, because the mean of its divisors is an integer number (161352).

22266374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581632).

2266374 is an abundant number, since it is smaller than the sum of its proper divisors (2896890).

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

2266374 is a wasteful number, since it uses less digits than its factorization.

2266374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532.

The product of its digits is 12096, while the sum is 30.

The square root of 2266374 is about 1505.4481060468. The cubic root of 2266374 is about 131.3541685503.

The spelling of 2266374 in words is "two million, two hundred sixty-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1493 1518 2986 4479 8958 16423 32846 34339 49269 68678 98538 103017 206034 377729 755458 1133187 2266374