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2283045282 = 2327193130763
BaseRepresentation
bin1000100000010100…
…1000000110100010
312220002221201100200
42020011020012202
514133424422112
61014313330030
7110401364460
oct21005100642
95802851320
102283045282
11a717a0791
12538706916
132a4cb9b8b
141792d7830
15d5672cdc
hex881481a2

2283045282 has 96 divisors (see below), whose sum is σ = 6142955520. Its totient is φ = 598013280.

The previous prime is 2283045269. The next prime is 2283045283. The reversal of 2283045282 is 2825403822.

2283045282 is a `hidden beast` number, since 228 + 304 + 52 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (2283045283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58833 + ... + 89595.

It is an arithmetic number, because the mean of its divisors is an integer number (63989120).

Almost surely, 22283045282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2283045282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071477760).

2283045282 is an abundant number, since it is smaller than the sum of its proper divisors (3859910238).

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

2283045282 is a wasteful number, since it uses less digits than its factorization.

2283045282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30828 (or 30825 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2283045282 is about 47781.2231111762. The cubic root of 2283045282 is about 1316.7545926719.

It can be divided in two parts, 228304 and 5282, that added together give a triangular number (233586 = T683).

The spelling of 2283045282 in words is "two billion, two hundred eighty-three million, forty-five thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 589 651 798 1178 1197 1302 1767 1953 2394 3534 3906 4123 5301 8246 10602 12369 24738 30763 37107 61526 74214 92289 184578 215341 276867 430682 553734 584497 646023 953653 1168994 1292046 1753491 1907306 1938069 2860959 3506982 3876138 4091479 5260473 5721918 6675571 8182958 8582877 10520946 12274437 13351142 17165754 18119407 20026713 24548874 36238814 36823311 40053426 54358221 60080139 73646622 108716442 120160278 126835849 163074663 253671698 326149326 380507547 761015094 1141522641 2283045282