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2285420832 = 25363132
BaseRepresentation
bin1000100000111000…
…1100000100100000
312220021102102000000
42020032030010200
514140031431312
61014440300000
7110430520332
oct21016140440
95807372000
102285420832
11a73073552
12539471600
132a563c226
14179755452
15d5991adc
hex8838c120

2285420832 has 126 divisors (see below), whose sum is σ = 6767669097. Its totient is φ = 759373056.

The previous prime is 2285420831. The next prime is 2285420867. The reversal of 2285420832 is 2380245822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2285420832 is a `hidden beast` number, since 228 + 5 + 420 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1324668816 + 960752016 = 36396^2 + 30996^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33804.

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 (2285420831) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7301508 + ... + 7301820.

Almost surely, 22285420832 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 2285420832

2285420832 is an abundant number, since it is smaller than the sum of its proper divisors (4482248265).

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

2285420832 is an frugal number, since it uses more digits than its factorization.

2285420832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 318 counting only the distinct ones).

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

The square root of 2285420832 is about 47806.0752624601. The cubic root of 2285420832 is about 1317.2111367018.

The spelling of 2285420832 in words is "two billion, two hundred eighty-five million, four hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 313 324 432 486 626 648 729 864 939 972 1252 1296 1458 1878 1944 2504 2592 2817 2916 3756 3888 5008 5634 5832 7512 7776 8451 10016 11268 11664 15024 16902 22536 23328 25353 30048 33804 45072 50706 67608 76059 90144 97969 101412 135216 152118 195938 202824 228177 270432 293907 304236 391876 405648 456354 587814 608472 783752 811296 881721 912708 1175628 1216944 1567504 1763442 1825416 2351256 2433888 2645163 3135008 3526884 3650832 4702512 5290326 7053768 7301664 7935489 9405024 10580652 14107536 15870978 21161304 23806467 28215072 31741956 42322608 47612934 63483912 71419401 84645216 95225868 126967824 142838802 190451736 253935648 285677604 380903472 571355208 761806944 1142710416 2285420832