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2228985 = 335111979
BaseRepresentation
bin1000100000001011111001
311012020121000
420200023321
51032311420
6115435213
724642333
oct10401371
94166530
102228985
111292740
128b5b09
13600735
14420453
152e0690
hex2202f9

2228985 has 64 divisors (see below), whose sum is σ = 4608000. Its totient is φ = 1010880.

The previous prime is 2228983. The next prime is 2228987. The reversal of 2228985 is 5898222.

It is an interprime number because it is at equal distance from previous prime (2228983) and next prime (2228987).

It is not a de Polignac number, because 2228985 - 21 = 2228983 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2228981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28176 + ... + 28254.

It is an arithmetic number, because the mean of its divisors is an integer number (72000).

22228985 is an apocalyptic number.

It is an amenable number.

2228985 is an abundant number, since it is smaller than the sum of its proper divisors (2379015).

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

2228985 is a wasteful number, since it uses less digits than its factorization.

2228985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2228985 is about 1492.9785664905. The cubic root of 2228985 is about 130.6278308796.

The spelling of 2228985 in words is "two million, two hundred twenty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 79 95 99 135 165 171 209 237 285 297 395 495 513 627 711 855 869 1045 1185 1485 1501 1881 2133 2565 2607 3135 3555 4345 4503 5643 7505 7821 9405 10665 13035 13509 16511 22515 23463 28215 39105 40527 49533 67545 82555 117315 148599 202635 247665 445797 742995 2228985