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229273019096 = 231141142744531
BaseRepresentation
bin1101010110000110111…
…1001010001011011000
3210220210102122010112212
43111201233022023120
512224022343102341
6253154312254252
722364412336002
oct3254157121330
9726712563485
10229273019096
1189263707770
12385270a1388
131880abb9154
14b14db6b372
155e6d34b5eb
hex3561bca2d8

229273019096 has 64 divisors (see below), whose sum is σ = 480753221760. Its totient is φ = 101599648000.

The previous prime is 229273019093. The next prime is 229273019099. The reversal of 229273019096 is 690910372922.

229273019096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229273019093) and next prime (229273019099).

It is a super-2 number, since 2×2292730190962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229273019093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5126351 + ... + 5170881.

It is an arithmetic number, because the mean of its divisors is an integer number (7511769090).

Almost surely, 2229273019096 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 229273019096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240376610880).

229273019096 is an abundant number, since it is smaller than the sum of its proper divisors (251480202664).

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

229273019096 is a wasteful number, since it uses less digits than its factorization.

229273019096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46016 (or 46012 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 50.

The spelling of 229273019096 in words is "two hundred twenty-nine billion, two hundred seventy-three million, nineteen thousand, ninety-six".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 1427 1804 2854 3608 5708 11416 15697 31394 44531 58507 62788 89062 117014 125576 178124 234028 356248 468056 489841 643577 979682 1287154 1825771 1959364 2574308 3651542 3918728 5148616 7303084 14606168 20083481 40166962 63545737 80333924 127091474 160667848 254182948 508365896 699003107 1398006214 2605375217 2796012428 5210750434 5592024856 10421500868 20843001736 28659127387 57318254774 114636509548 229273019096