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2273778 = 233134179
BaseRepresentation
bin1000101011000111110010
311021112001000
420223013302
51040230103
6120422430
725220043
oct10530762
94245030
102273778
111313361
12917a16
13617c40
144328ca
152edaa3
hex22b1f2

2273778 has 64 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 673920.

The previous prime is 2273771. The next prime is 2273783. The reversal of 2273778 is 8773722.

2273778 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2273778 is a nontrivial binomial coefficient, being equal to C(2133, 2).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2273771) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28743 + ... + 28821.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

22273778 is an apocalyptic number.

2273778 is the 2132-nd triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

2273778 is an abundant number, since it is smaller than the sum of its proper divisors (3371022).

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

2273778 is a wasteful number, since it uses less digits than its factorization.

2273778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 2273778 is about 1507.9051694321. The cubic root of 2273778 is about 131.4970530454.

It can be divided in two parts, 227 and 3778, that added together give a triangular number (4005 = T89).

The spelling of 2273778 in words is "two million, two hundred seventy-three thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 79 82 117 123 158 234 237 246 351 369 474 533 702 711 738 1027 1066 1107 1422 1599 2054 2133 2214 3081 3198 3239 4266 4797 6162 6478 9243 9594 9717 14391 18486 19434 27729 28782 29151 42107 55458 58302 84214 87453 126321 174906 252642 378963 757926 1136889 2273778