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8229754140 = 2235312532693
BaseRepresentation
bin1111010101000100…
…00001010100011100
3210020112201211022220
413222202001110130
5113323304113030
63440344105340
7410640520206
oct75242012434
923215654286
108229754140
113543533103
121718165250
13a1201750a
14580dd3776
15332780a10
hex1ea88151c

8229754140 has 144 divisors (see below), whose sum is σ = 24268888224. Its totient is φ = 2082961920.

The previous prime is 8229754129. The next prime is 8229754157. The reversal of 8229754140 is 414579228.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8229754092 and 8229754101.

It is a congruent number.

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, 3054634 + ... + 3057326.

It is an arithmetic number, because the mean of its divisors is an integer number (168533946).

Almost surely, 28229754140 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 8229754140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134444112).

8229754140 is an abundant number, since it is smaller than the sum of its proper divisors (16039134084).

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

8229754140 is a wasteful number, since it uses less digits than its factorization.

8229754140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 8229754140 is about 90717.9923719656. The cubic root of 8229754140 is about 2018.9657598120.

The spelling of 8229754140 in words is "eight billion, two hundred twenty-nine million, seven hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 53 60 62 93 106 124 155 159 186 212 265 310 318 372 465 530 620 636 795 930 961 1060 1590 1643 1860 1922 2693 2883 3180 3286 3844 4805 4929 5386 5766 6572 8079 8215 9610 9858 10772 11532 13465 14415 16158 16430 19220 19716 24645 26930 28830 32316 32860 40395 49290 50933 53860 57660 80790 83483 98580 101866 142729 152799 161580 166966 203732 250449 254665 285458 305598 333932 417415 428187 500898 509330 570916 611196 713645 763995 834830 856374 1001796 1018660 1252245 1427290 1527990 1669660 1712748 2140935 2504490 2587973 2854580 3055980 4281870 4424599 5008980 5175946 7763919 8563740 8849198 10351892 12939865 13273797 15527838 17698396 22122995 25879730 26547594 31055676 38819595 44245990 51759460 53095188 66368985 77639190 88491980 132737970 137162569 155278380 265475940 274325138 411487707 548650276 685812845 822975414 1371625690 1645950828 2057438535 2743251380 4114877070 8229754140