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2226465 = 32549477
BaseRepresentation
bin1000011111100100100001
311012010010200
420133210201
51032221330
6115415413
724632103
oct10374441
94163120
102226465
11129085a
128b4569
135cc547
1441d573
152dea60
hex21f921

2226465 has 12 divisors (see below), whose sum is σ = 3859284. Its totient is φ = 1187424.

The previous prime is 2226463. The next prime is 2226467. The reversal of 2226465 is 5646222.

It is an interprime number because it is at equal distance from previous prime (2226463) and next prime (2226467).

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 1580049 = 804^2 + 1257^2 .

It is not a de Polignac number, because 2226465 - 21 = 2226463 is a prime.

It is a d-powerful number, because it can be written as 210 + 216 + 221 + 63 + 44 + 66 + 56 .

2226465 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2226461) 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, 24694 + ... + 24783.

It is an arithmetic number, because the mean of its divisors is an integer number (321607).

22226465 is an apocalyptic number.

It is an amenable number.

2226465 is a deficient number, since it is larger than the sum of its proper divisors (1632819).

2226465 is a wasteful number, since it uses less digits than its factorization.

2226465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49488 (or 49485 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2226465 is about 1492.1343773267. The cubic root of 2226465 is about 130.5785848080.

The spelling of 2226465 in words is "two million, two hundred twenty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 49477 148431 247385 445293 742155 2226465