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2774442 = 2311127331
BaseRepresentation
bin1010100101010110101010
312012221211010
422211112222
51202240232
6135244350
732403516
oct12452652
95187733
102774442
111625530
12b196b6
13761aa8
14523146
1539c0cc
hex2a55aa

2774442 has 32 divisors (see below), whose sum is σ = 6119424. Its totient is φ = 831600.

The previous prime is 2774419. The next prime is 2774477. The reversal of 2774442 is 2444772.

2774442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27744422 = 15395056822728, which contains 22 as substring.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8217 + ... + 8547.

It is an arithmetic number, because the mean of its divisors is an integer number (191232).

22774442 is an apocalyptic number.

2774442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2774442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059712).

2774442 is an abundant number, since it is smaller than the sum of its proper divisors (3344982).

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

2774442 is a wasteful number, since it uses less digits than its factorization.

2774442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474.

The product of its digits is 12544, while the sum is 30.

The square root of 2774442 is about 1665.6656327126. The cubic root of 2774442 is about 140.5158182652.

The spelling of 2774442 in words is "two million, seven hundred seventy-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 127 254 331 381 662 762 993 1397 1986 2794 3641 4191 7282 8382 10923 21846 42037 84074 126111 252222 462407 924814 1387221 2774442