Search a number
-
+
2205774 = 232315967
BaseRepresentation
bin1000011010100001001110
311011001202100
420122201032
51031041044
6115135530
724514554
oct10324116
94131670
102205774
11127725a
128a45a6
135c2cbc
14415bd4
152d8869
hex21a84e

2205774 has 48 divisors (see below), whose sum is σ = 5091840. Its totient is φ = 689040.

The previous prime is 2205761. The next prime is 2205779. The reversal of 2205774 is 4775022.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32889 + ... + 32955.

It is an arithmetic number, because the mean of its divisors is an integer number (106080).

22205774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545920).

2205774 is an abundant number, since it is smaller than the sum of its proper divisors (2886066).

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

2205774 is a wasteful number, since it uses less digits than its factorization.

2205774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2205774 is about 1485.1848369816. The cubic root of 2205774 is about 130.1728273336.

The spelling of 2205774 in words is "two million, two hundred five thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 31 59 62 67 93 118 134 177 186 201 279 354 402 531 558 603 1062 1206 1829 2077 3658 3953 4154 5487 6231 7906 10974 11859 12462 16461 18693 23718 32922 35577 37386 71154 122543 245086 367629 735258 1102887 2205774