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2778228 = 2232229337
BaseRepresentation
bin1010100110010001110100
312020011000100
422212101310
51202400403
6135314100
732420535
oct12462164
95204010
102778228
111628362
12b1b930
1376372b
1452468c
1539d2a3
hex2a6474

2778228 has 36 divisors (see below), whose sum is σ = 7074340. Its totient is φ = 919296.

The previous prime is 2778227. The next prime is 2778233. The reversal of 2778228 is 8228772.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 1004004 = 1332^2 + 1002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2778192 and 2778201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778227) 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, 8076 + ... + 8412.

22778228 is an apocalyptic number.

It is an amenable number.

2778228 is an abundant number, since it is smaller than the sum of its proper divisors (4296112).

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

2778228 is a wasteful number, since it uses less digits than its factorization.

2778228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 571 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 2778228 is about 1666.8017278609. The cubic root of 2778228 is about 140.5797051159.

The spelling of 2778228 in words is "two million, seven hundred seventy-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 229 337 458 674 687 916 1011 1348 1374 2022 2061 2748 3033 4044 4122 6066 8244 12132 77173 154346 231519 308692 463038 694557 926076 1389114 2778228