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2266776 = 2332191657
BaseRepresentation
bin1000101001011010011000
311021011102200
420221122120
51040014101
6120330200
725160451
oct10513230
94234380
102266776
111309076
12913960
136149b5
14430128
152eb986
hex229698

2266776 has 48 divisors (see below), whose sum is σ = 6466200. Its totient is φ = 715392.

The previous prime is 2266769. The next prime is 2266777. The reversal of 2266776 is 6776622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2266776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540 + ... + 2196.

22266776 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 2266776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233100).

2266776 is an abundant number, since it is smaller than the sum of its proper divisors (4199424).

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

2266776 is a wasteful number, since it uses less digits than its factorization.

2266776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1681 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2266776 is about 1505.5816151906. The cubic root of 2266776 is about 131.3619344434.

The spelling of 2266776 in words is "two million, two hundred sixty-six thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 1657 3314 4971 6628 9942 13256 14913 19884 29826 31483 39768 59652 62966 94449 119304 125932 188898 251864 283347 377796 566694 755592 1133388 2266776