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2285403008 = 2777983389
BaseRepresentation
bin1000100000111000…
…0111101110000000
312220021101111112212
42020032013232000
514140030344013
61014440041252
7110430414350
oct21016075600
95807344485
102285403008
11a73061119
12539463228
132a5634095
1417974cb60
15d598b6a8
hex88387b80

2285403008 has 128 divisors (see below), whose sum is σ = 5346432000. Its totient is φ = 952952832.

The previous prime is 2285402993. The next prime is 2285403019. The reversal of 2285403008 is 8003045822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5874878 + ... + 5875266.

It is an arithmetic number, because the mean of its divisors is an integer number (41769000).

Almost surely, 22285403008 is an apocalyptic number.

2285403008 is a gapful number since it is divisible by the number (28) 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 2285403008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673216000).

2285403008 is an abundant number, since it is smaller than the sum of its proper divisors (3061028992).

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

2285403008 is an equidigital number, since it uses as much as digits as its factorization.

2285403008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 2285403008 is about 47805.8888422755. Note that the first 4 decimals coincide. The cubic root of 2285403008 is about 1317.2077123824.

The spelling of 2285403008 in words is "two billion, two hundred eighty-five million, four hundred three thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 83 112 128 158 166 224 316 332 389 448 553 581 632 664 778 896 1106 1162 1264 1328 1556 2212 2324 2528 2656 2723 3112 4424 4648 5056 5312 5446 6224 6557 8848 9296 10112 10624 10892 12448 13114 17696 18592 21784 24896 26228 30731 32287 35392 37184 43568 45899 49792 52456 61462 64574 70784 74368 87136 91798 104912 122924 129148 174272 183596 209824 215117 226009 245848 258296 348544 367192 419648 430234 452018 491696 516592 734384 839296 860468 904036 983392 1033184 1468768 1720936 1808072 1966784 2066368 2550673 2937536 3441872 3616144 3933568 4132736 5101346 5875072 6883744 7232288 10202692 13767488 14464576 17854711 20405384 27534976 28929152 35709422 40810768 71418844 81621536 142837688 163243072 285675376 326486144 571350752 1142701504 2285403008