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2285043552 = 2532117110159
BaseRepresentation
bin1000100000110010…
…1111111101100000
312220020201020110200
42020030233331200
514134432343202
61014424225200
7110424356361
oct21014577540
95806636420
102285043552
11a72936050
1253930b200
132a553959c
14179697b68
15d5919e1c
hex8832ff60

2285043552 has 144 divisors (see below), whose sum is σ = 7189378560. Its totient is φ = 682617600.

The previous prime is 2285043503. The next prime is 2285043557. The reversal of 2285043552 is 2553405822.

It is a happy number.

2285043552 is a `hidden beast` number, since 22 + 85 + 0 + 4 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285043557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219849 + ... + 230007.

It is an arithmetic number, because the mean of its divisors is an integer number (49926240).

Almost surely, 22285043552 is an apocalyptic number.

2285043552 is a gapful number since it is divisible by the number (22) 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 2285043552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

2285043552 is an abundant number, since it is smaller than the sum of its proper divisors (4904335008).

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

2285043552 is a wasteful number, since it uses less digits than its factorization.

2285043552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10257 (or 10246 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2285043552 is about 47802.1291576013. The cubic root of 2285043552 is about 1317.1386504505.

The spelling of 2285043552 in words is "two billion, two hundred eighty-five million, forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 71 72 88 96 99 132 142 144 176 198 213 264 284 288 352 396 426 528 568 639 781 792 852 1056 1136 1278 1562 1584 1704 2272 2343 2556 3124 3168 3408 4686 5112 6248 6816 7029 9372 10159 10224 12496 14058 18744 20318 20448 24992 28116 30477 37488 40636 56232 60954 74976 81272 91431 111749 112464 121908 162544 182862 223498 224928 243816 325088 335247 365724 446996 487632 670494 721289 731448 893992 975264 1005741 1340988 1442578 1462896 1787984 2011482 2163867 2681976 2885156 2925792 3575968 4022964 4327734 5363952 5770312 6491601 7934179 8045928 8655468 10727904 11540624 12983202 15868358 16091856 17310936 23081248 23802537 25966404 31736716 32183712 34621872 47605074 51932808 63473432 69243744 71407611 95210148 103865616 126946864 142815222 190420296 207731232 253893728 285630444 380840592 571260888 761681184 1142521776 2285043552