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2228665088 = 28131275273
BaseRepresentation
bin1000010011010110…
…1011101100000000
312202022121220202102
42010311223230000
514031014240323
61005052005532
7106141224566
oct20465535400
95668556672
102228665088
11a44029081
125224608a8
13296959b50
14171dbda36
15d09d0328
hex84d6bb00

2228665088 has 72 divisors (see below), whose sum is σ = 4829465088. Its totient is φ = 1020321792.

The previous prime is 2228665081. The next prime is 2228665111. The reversal of 2228665088 is 8805668222.

It is a happy number.

It is a Smith number, since the sum of its digits (47) 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 (2228665081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420020 + ... + 425292.

It is an arithmetic number, because the mean of its divisors is an integer number (67075904).

Almost surely, 22228665088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228665088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414732544).

2228665088 is an abundant number, since it is smaller than the sum of its proper divisors (2600800000).

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

2228665088 is a wasteful number, since it uses less digits than its factorization.

2228665088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The square root of 2228665088 is about 47208.7395298794. The cubic root of 2228665088 is about 1306.2158118751.

The spelling of 2228665088 in words is "two billion, two hundred twenty-eight million, six hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 256 416 508 832 1016 1651 1664 2032 3302 3328 4064 5273 6604 8128 10546 13208 16256 21092 26416 32512 42184 52832 68549 84368 105664 137098 168736 211328 274196 337472 422656 548392 669671 674944 1096784 1339342 1349888 2193568 2678684 4387136 5357368 8705723 8774272 10714736 17411446 17548544 21429472 34822892 42858944 69645784 85717888 139291568 171435776 278583136 557166272 1114332544 2228665088