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223075343732164 = 227112732212940759
BaseRepresentation
bin110010101110001011000110…
…100111110000110111000100
31002020211210110020212222222221
4302232023012213300313010
5213214331300443412124
62110235222000502124
764662442654631320
oct6256130647606704
91066753406788887
10223075343732164
11650957a3a7a200
12210295b531a944
139761bb7649041
143d12c9336a980
151abca7ce7cce4
hexcae2c69f0dc4

223075343732164 has 144 divisors (see below), whose sum is σ = 497149465657600. Its totient is φ = 85715913000960.

The previous prime is 223075343732141. The next prime is 223075343732177. The reversal of 223075343732164 is 461237343570322.

223075343732164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2230753437321643 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5473012417 + ... + 5473053175.

Almost surely, 2223075343732164 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 223075343732164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248574732828800).

223075343732164 is an abundant number, since it is smaller than the sum of its proper divisors (274074121925436).

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

223075343732164 is a wasteful number, since it uses less digits than its factorization.

223075343732164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62994 (or 62981 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 52.

The spelling of 223075343732164 in words is "two hundred twenty-three trillion, seventy-five billion, three hundred forty-three million, seven hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 73 77 121 146 154 242 292 308 484 511 803 847 1022 1606 1694 2044 3212 3388 5621 8833 11242 17666 22129 22484 35332 40759 44258 61831 81518 88516 123662 154903 163036 243419 247324 285313 309806 448349 486838 570626 619612 896698 973676 1141252 1615417 1703933 1793396 2677609 2975407 3138443 3230834 3407866 4931839 5355218 5950814 6276886 6461668 6815732 9863678 10710436 11307919 11901628 12553772 17769587 18743263 19727356 20827849 22615838 32729477 34522873 35539174 37486526 41655698 45231676 65458954 69045746 71078348 74973052 83311396 124387109 130917908 138091492 195465457 229106339 248774218 360024247 390930914 458212678 497548436 720048494 781861828 901955911 916425356 1368258199 1440096988 1803911822 2520169729 2736516398 3607823644 5040339458 5473032796 6313691377 9921515021 10080678916 12627382754 19843030042 25254765508 39686060084 65842781503 69450605147 109136665231 131685563006 138901210294 218273330462 263371126012 277802420588 436546660924 460899470521 724270596533 763956656617 921798941042 1448541193066 1527913313234 1843597882084 2897082386132 3055826626468 5069894175731 7966976561863 10139788351462 15933953123726 20279576702924 31867906247452 55768835933041 111537671866082 223075343732164