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2288241216 = 26324392387
BaseRepresentation
bin1000100001100011…
…1100101001000000
312220110201200211200
42020120330221000
514141242204331
61015020541200
7110463505122
oct21030745100
95813650750
102288241216
11a7471a548
1253a3b1800
132a60b8bb1
14179c8b212
15d5d4c5e6
hex8863ca40

2288241216 has 84 divisors (see below), whose sum is σ = 6711433872. Its totient is φ = 745000704.

The previous prime is 2288241199. The next prime is 2288241217. The reversal of 2288241216 is 6121428822.

2288241216 is a `hidden beast` number, since 228 + 8 + 2 + 412 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2288241217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21426 + ... + 70961.

Almost surely, 22288241216 is an apocalyptic number.

It is an amenable number.

2288241216 is an abundant number, since it is smaller than the sum of its proper divisors (4423192656).

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

2288241216 is a wasteful number, since it uses less digits than its factorization.

2288241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92448 (or 92435 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2288241216 is about 47835.5643428611. The cubic root of 2288241216 is about 1317.7527603704.

The spelling of 2288241216 in words is "two billion, two hundred eighty-eight million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2752 3096 4128 6192 8256 12384 24768 92387 184774 277161 369548 554322 739096 831483 1108644 1478192 1662966 2217288 2956384 3325932 3972641 4434576 5912768 6651864 7945282 8869152 11917923 13303728 15890564 17738304 23835846 26607456 31781128 35753769 47671692 53214912 63562256 71507538 95343384 127124512 143015076 190686768 254249024 286030152 381373536 572060304 762747072 1144120608 2288241216