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228321144064 = 2813438811811
BaseRepresentation
bin1101010010100100000…
…0000010110100000000
3210211100002111212111001
43110221000002310000
512220100203102224
6252520030301344
722332003463066
oct3245100026400
9724302455431
10228321144064
1188915373992
1238300357854
13186b892baa0
14b09d58a036
155e149c4544
hex3529002d00

228321144064 has 144 divisors (see below), whose sum is σ = 503069966784. Its totient is φ = 102754713600.

The previous prime is 228321144059. The next prime is 228321144083. The reversal of 228321144064 is 460441123822.

It is a congruent number.

It is an unprimeable number.

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, 126073719 + ... + 126075529.

It is an arithmetic number, because the mean of its divisors is an integer number (3493541436).

Almost surely, 2228321144064 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 228321144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251534983392).

228321144064 is an abundant number, since it is smaller than the sum of its proper divisors (274748822720).

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

228321144064 is a wasteful number, since it uses less digits than its factorization.

228321144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 228321144064 its reverse (460441123822), we get a palindrome (688762267886).

The spelling of 228321144064 in words is "two hundred twenty-eight billion, three hundred twenty-one million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 559 688 832 881 1118 1376 1664 1762 1811 2236 2752 3328 3524 3622 4472 5504 7048 7244 8944 11008 11453 14096 14488 17888 22906 23543 28192 28976 35776 37883 45812 47086 56384 57952 71552 75766 77873 91624 94172 112768 115904 143104 151532 155746 183248 188344 225536 231808 303064 311492 366496 376688 463616 492479 606128 622984 732992 753376 984958 1012349 1212256 1245968 1465984 1506752 1595491 1969916 2024698 2424512 2491936 2931968 3013504 3190982 3939832 4049396 4849024 4983872 6027008 6381964 7879664 8098792 9698048 9967744 12763928 15759328 16197584 19935488 20741383 25527856 31518656 32395168 41482766 51055712 63037312 64790336 68606113 82965532 102111424 126074624 129580672 137212226 165931064 204222848 259161344 274424452 331862128 408445696 548848904 663724256 891879469 1097697808 1327448512 1783758938 2195395616 2654897024 3567517876 4390791232 5309794048 7135035752 8781582464 14270071504 17563164928 28540143008 57080286016 114160572032 228321144064