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2209096128 = 26367832069
BaseRepresentation
bin1000001110101100…
…0010000111000000
312200221210201012010
42003223002013000
514011012034003
61003112332520
7105513002331
oct20353020700
95627721163
102209096128
11a33a82688
125179a4140
13292897995
1416d568288
15cde17003
hex83ac21c0

2209096128 has 112 divisors (see below), whose sum is σ = 6006510720. Its totient is φ = 716289024.

The previous prime is 2209096091. The next prime is 2209096159. The reversal of 2209096128 is 8216909022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066678 + ... + 1068746.

It is an arithmetic number, because the mean of its divisors is an integer number (53629560).

Almost surely, 22209096128 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 2209096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003255360).

2209096128 is an abundant number, since it is smaller than the sum of its proper divisors (3797414592).

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

2209096128 is a wasteful number, since it uses less digits than its factorization.

2209096128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 2209096128 is about 47001.0226271727. The cubic root of 2209096128 is about 1302.3814588252.

The spelling of 2209096128 in words is "two billion, two hundred nine million, ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 83 96 134 166 192 201 249 268 332 402 498 536 664 804 996 1072 1328 1608 1992 2069 2144 2656 3216 3984 4138 4288 5312 5561 6207 6432 7968 8276 11122 12414 12864 15936 16552 16683 22244 24828 33104 33366 44488 49656 66208 66732 88976 99312 132416 133464 138623 171727 177952 198624 266928 277246 343454 355904 397248 415869 515181 533856 554492 686908 831738 1030362 1067712 1108984 1373816 1663476 2060724 2217968 2747632 3326952 4121448 4435936 5495264 6653904 8242896 8871872 10990528 11505709 13307808 16485792 23011418 26615616 32971584 34517127 46022836 69034254 92045672 138068508 184091344 276137016 368182688 552274032 736365376 1104548064 2209096128