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2228763168 = 25337932653
BaseRepresentation
bin1000010011011000…
…0011101000100000
312202022210220022000
42010312003220200
514031030410133
61005054044000
7106142113542
oct20466035040
95668726260
102228763168
11a44095835
125224a9600
13296992698
14172007692
15d09ee413
hex84d83a20

2228763168 has 96 divisors (see below), whose sum is σ = 6583046400. Its totient is φ = 733494528.

The previous prime is 2228763139. The next prime is 2228763169. The reversal of 2228763168 is 8613678222.

2228763168 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 7 + 631 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2228763169) 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 15 ways as a sum of consecutive naturals, for example, 51930 + ... + 84582.

It is an arithmetic number, because the mean of its divisors is an integer number (68573400).

Almost surely, 22228763168 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 2228763168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291523200).

2228763168 is an abundant number, since it is smaller than the sum of its proper divisors (4354283232).

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

2228763168 is a wasteful number, since it uses less digits than its factorization.

2228763168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32751 (or 32737 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2228763168 is about 47209.7783091596. The cubic root of 2228763168 is about 1306.2349730863.

The spelling of 2228763168 in words is "two billion, two hundred twenty-eight million, seven hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 864 948 1264 1422 1896 2133 2528 2844 3792 4266 5688 7584 8532 11376 17064 22752 32653 34128 65306 68256 97959 130612 195918 261224 293877 391836 522448 587754 783672 881631 1044896 1175508 1567344 1763262 2351016 2579587 3134688 3526524 4702032 5159174 7053048 7738761 9404064 10318348 14106096 15477522 20636696 23216283 28212192 30955044 41273392 46432566 61910088 69648849 82546784 92865132 123820176 139297698 185730264 247640352 278595396 371460528 557190792 742921056 1114381584 2228763168