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2208131064 = 2333471991093
BaseRepresentation
bin1000001110011101…
…0110011111111000
312200212222200101000
42003213112133320
514010240143224
61003035525000
7105501542616
oct20347263770
95625880330
102208131064
11a33483607
125175b9760
1329261a639
1416d3966b6
15cdcc60c9
hex839d67f8

2208131064 has 128 divisors (see below), whose sum is σ = 6301440000. Its totient is φ = 716107392.

The previous prime is 2208131011. The next prime is 2208131069. The reversal of 2208131064 is 4601318022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208131069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2019702 + ... + 2020794.

It is an arithmetic number, because the mean of its divisors is an integer number (49230000).

Almost surely, 22208131064 is an apocalyptic number.

2208131064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208131064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150720000).

2208131064 is an abundant number, since it is smaller than the sum of its proper divisors (4093308936).

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

2208131064 is a wasteful number, since it uses less digits than its factorization.

2208131064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2208131064 is about 46990.7550907623. The cubic root of 2208131064 is about 1302.1917787542.

Adding to 2208131064 its reverse (4601318022), we get a palindrome (6809449086).

The spelling of 2208131064 in words is "two billion, two hundred eight million, one hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 199 216 282 376 398 423 564 597 796 846 1093 1128 1194 1269 1592 1692 1791 2186 2388 2538 3279 3384 3582 4372 4776 5076 5373 6558 7164 8744 9353 9837 10152 10746 13116 14328 18706 19674 21492 26232 28059 29511 37412 39348 42984 51371 56118 59022 74824 78696 84177 102742 112236 118044 154113 168354 205484 217507 224472 236088 252531 308226 336708 410968 435014 462339 505062 616452 652521 673416 870028 924678 1010124 1232904 1305042 1387017 1740056 1849356 1957563 2020248 2610084 2774034 3698712 3915126 5220168 5548068 5872689 7830252 10222829 11096136 11745378 15660504 20445658 23490756 30668487 40891316 46981512 61336974 81782632 92005461 122673948 184010922 245347896 276016383 368021844 552032766 736043688 1104065532 2208131064