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231285668720 = 245235913715551
BaseRepresentation
bin1101011101100110110…
…0110011101101110000
3211002222200210022210112
43113121230303231300
512242133112344340
6254130130320452
722465321514111
oct3273154635560
9732880708715
10231285668720
118a0a6804167
12389a9129128
1318a6bb720a2
14b2a119a208
156039dac065
hex35d9b33b70

231285668720 has 160 divisors (see below), whose sum is σ = 574831779840. Its totient is φ = 86351513600.

The previous prime is 231285668639. The next prime is 231285668749. The reversal of 231285668720 is 27866582132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14864945 + ... + 14880495.

It is an arithmetic number, because the mean of its divisors is an integer number (3592698624).

Almost surely, 2231285668720 is an apocalyptic number.

231285668720 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 231285668720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287415889920).

231285668720 is an abundant number, since it is smaller than the sum of its proper divisors (343546111120).

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

231285668720 is a wasteful number, since it uses less digits than its factorization.

231285668720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15783 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 231285668720 in words is "two hundred thirty-one billion, two hundred eighty-five million, six hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 59 80 92 115 118 137 184 230 236 274 295 368 460 472 548 590 685 920 944 1096 1180 1357 1370 1840 2192 2360 2714 2740 3151 4720 5428 5480 6302 6785 8083 10856 10960 12604 13570 15551 15755 16166 21712 25208 27140 31102 31510 32332 40415 50416 54280 62204 63020 64664 77755 80830 108560 124408 126040 129328 155510 161660 185909 248816 252080 311020 323320 357673 371818 622040 646640 715346 743636 917509 929545 1244080 1430692 1487272 1788365 1835018 1859090 2130487 2861384 2974544 3576730 3670036 3718180 4260974 4587545 5722768 7153460 7340072 7436360 8521948 9175090 10652435 14306920 14680144 14872720 17043896 18350180 21102707 21304870 28613840 34087792 36700360 42205414 42609740 49001201 73400720 84410828 85219480 98002402 105513535 125698733 168821656 170438960 196004804 211027070 245006005 251397466 337643312 392009608 422054140 490012010 502794932 628493665 784019216 844108280 980024020 1005589864 1256987330 1688216560 1960048040 2011179728 2513974660 2891070859 3920096080 5027949320 5782141718 10055898640 11564283436 14455354295 23128566872 28910708590 46257133744 57821417180 115642834360 231285668720