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2283480576 = 29321338119
BaseRepresentation
bin1000100000011011…
…0010011000000000
312220010202211110200
42020012302120000
514134032334301
61014330525200
7110405156526
oct21006623000
95803684420
102283480576
11a71a68833
12538896800
132a5110050
141793ac316
15d570bc86
hex881b2600

2283480576 has 120 divisors (see below), whose sum is σ = 7097410320. Its totient is φ = 702590976.

The previous prime is 2283480539. The next prime is 2283480587. The reversal of 2283480576 is 6750843822.

2283480576 is a `hidden beast` number, since 22 + 83 + 480 + 5 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40845 + ... + 78963.

It is an arithmetic number, because the mean of its divisors is an integer number (59145086).

Almost surely, 22283480576 is an apocalyptic number.

2283480576 is a gapful number since it is divisible by the number (26) 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 2283480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548705160).

2283480576 is an abundant number, since it is smaller than the sum of its proper divisors (4813929744).

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

2283480576 is a wasteful number, since it uses less digits than its factorization.

2283480576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38156 (or 38137 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2283480576 is about 47785.7779679268. Note that the first 3 decimals coincide. The cubic root of 2283480576 is about 1316.8382731482.

The spelling of 2283480576 in words is "two billion, two hundred eighty-three million, four hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 38119 59904 76238 114357 152476 228714 304952 343071 457428 495547 609904 686142 914856 991094 1219808 1372284 1486641 1829712 1982188 2439616 2744568 2973282 3659424 3964376 4459923 4879232 5489136 5946564 7318848 7928752 8919846 9758464 10978272 11893128 14637696 15857504 17839692 19516928 21956544 23786256 29275392 31715008 35679384 43913088 47572512 58550784 63430016 71358768 87826176 95145024 126860032 142717536 175652352 190290048 253720064 285435072 380580096 570870144 761160192 1141740288 2283480576