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2208116472 = 2332371103547
BaseRepresentation
bin1000001110011101…
…0010111011111000
312200212221221100120
42003213102323320
514010234211342
61003035333240
7105501452232
oct20347227370
95625857316
102208116472
11a33473651
125175b1220
13292613ac3
1416d391252
15cdcc1aec
hex839d2ef8

2208116472 has 128 divisors (see below), whose sum is σ = 5908930560. Its totient is φ = 686125440.

The previous prime is 2208116431. The next prime is 2208116489. The reversal of 2208116472 is 2746118022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4036503 + ... + 4037049.

It is an arithmetic number, because the mean of its divisors is an integer number (46163520).

Almost surely, 22208116472 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 2208116472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954465280).

2208116472 is an abundant number, since it is smaller than the sum of its proper divisors (3700814088).

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

2208116472 is a wasteful number, since it uses less digits than its factorization.

2208116472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2208116472 is about 46990.5998259226. The cubic root of 2208116472 is about 1302.1889103218.

The spelling of 2208116472 in words is "two billion, two hundred eight million, one hundred sixteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 71 92 103 138 142 184 206 213 276 284 309 412 426 547 552 568 618 824 852 1094 1236 1633 1641 1704 2188 2369 2472 3266 3282 4376 4738 4899 6532 6564 7107 7313 9476 9798 12581 13064 13128 14214 14626 18952 19596 21939 25162 28428 29252 37743 38837 39192 43878 50324 56341 56856 58504 75486 77674 87756 100648 112682 116511 150972 155348 168199 169023 175512 225364 233022 301944 310696 336398 338046 450728 466044 504597 672796 676092 893251 932088 1009194 1295843 1345592 1352184 1786502 2018388 2591686 2679753 3573004 3887529 4000211 4036776 5183372 5359506 7146008 7775058 8000422 10366744 10719012 12000633 15550116 16000844 21438024 24001266 31100232 32001688 48002532 92004853 96005064 184009706 276014559 368019412 552029118 736038824 1104058236 2208116472