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2289032352 = 25334756369
BaseRepresentation
bin1000100001101111…
…1101110010100000
312220112012220002000
42020123331302200
514141443013402
61015045524000
7110503311465
oct21033756240
95815186060
102289032352
11a7510a982
1253a713600
132a6305019
1417a01566c
15d5e56c1c
hex886fdca0

2289032352 has 96 divisors (see below), whose sum is σ = 6818515200. Its totient is φ = 746763264.

The previous prime is 2289032327. The next prime is 2289032357. The reversal of 2289032352 is 2532309822.

2289032352 is a `hidden beast` number, since 2 + 289 + 0 + 323 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (2289032357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12424 + ... + 68792.

It is an arithmetic number, because the mean of its divisors is an integer number (71026200).

Almost surely, 22289032352 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 2289032352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409257600).

2289032352 is an abundant number, since it is smaller than the sum of its proper divisors (4529482848).

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

2289032352 is a wasteful number, since it uses less digits than its factorization.

2289032352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56435 (or 56421 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2289032352 is about 47843.8329568190. The cubic root of 2289032352 is about 1317.9046093854.

The spelling of 2289032352 in words is "two billion, two hundred eighty-nine million, thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 6768 10152 13536 20304 40608 56369 112738 169107 225476 338214 450952 507321 676428 901904 1014642 1352856 1521963 1803808 2029284 2649343 2705712 3043926 4058568 5298686 5411424 6087852 7948029 8117136 10597372 12175704 15896058 16234272 21194744 23844087 24351408 31792116 42389488 47688174 48702816 63584232 71532261 84778976 95376348 127168464 143064522 190752696 254336928 286129044 381505392 572258088 763010784 1144516176 2289032352