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229707268300 = 2252411071932713
BaseRepresentation
bin1101010111101110011…
…1101100000011001100
3210221220200202021110201
43111323213230003030
512230420030041200
6253305343543244
722411234364446
oct3257347540314
9727820667421
10229707268300
1189466845604
12386285bab24
1318879b5c843
14b1916c9496
155e96527c6a
hex357b9ec0cc

229707268300 has 144 divisors (see below), whose sum is σ = 518256016992. Its totient is φ = 88311398400.

The previous prime is 229707268291. The next prime is 229707268309. The reversal of 229707268300 is 3862707922.

It is an interprime number because it is at equal distance from previous prime (229707268291) and next prime (229707268309).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (229707268309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84667744 + ... + 84670456.

It is an arithmetic number, because the mean of its divisors is an integer number (3599000118).

Almost surely, 2229707268300 is an apocalyptic number.

229707268300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229707268300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259128008496).

229707268300 is an abundant number, since it is smaller than the sum of its proper divisors (288548748692).

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

229707268300 is a wasteful number, since it uses less digits than its factorization.

229707268300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 229707268300 in words is "two hundred twenty-nine billion, seven hundred seven million, two hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 107 164 193 205 214 386 410 428 535 772 820 965 1025 1070 1930 2050 2140 2675 2713 3860 4100 4387 4825 5350 5426 7913 8774 9650 10700 10852 13565 15826 17548 19300 20651 21935 27130 31652 39565 41302 43870 54260 67825 79130 82604 87740 103255 109675 111233 135650 158260 197825 206510 219350 222466 271300 290291 395650 413020 438700 444932 516275 523609 556165 580582 791300 846691 1032550 1047218 1112330 1161164 1451455 1693382 2065100 2094436 2224660 2618045 2780825 2902910 3386764 4233455 5236090 5561650 5805820 7257275 8466910 10472180 11123300 11901931 13090225 14514550 16933820 21167275 21467969 23803862 26180450 29029100 42334550 42935938 47607724 52360900 56026163 59509655 84669100 85871876 107339845 112052326 119019310 214679690 224104652 238038620 280130815 297548275 429359380 536699225 560261630 595096550 1073398450 1120523260 1190193100 1400654075 2146796900 2297072683 2801308150 4594145366 5602616300 9188290732 11485363415 22970726830 45941453660 57426817075 114853634150 229707268300