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229111680 = 2735717047
BaseRepresentation
bin11011010011111…
…11011110000000
3120222010002010210
431221333132000
5432123033210
634422354120
75451263040
oct1551773600
9528102123
10229111680
11108366aa6
126488b940
133860ab55
14225dd720
15151a9e20
hexda7f780

229111680 has 128 divisors (see below), whose sum is σ = 834670080. Its totient is φ = 52365312.

The previous prime is 229111639. The next prime is 229111693. The reversal of 229111680 is 86111922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4917 + ... + 21963.

It is an arithmetic number, because the mean of its divisors is an integer number (6520860).

Almost surely, 2229111680 is an apocalyptic number.

229111680 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 229111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417335040).

229111680 is an abundant number, since it is smaller than the sum of its proper divisors (605558400).

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

229111680 is a wasteful number, since it uses less digits than its factorization.

229111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17076 (or 17064 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 229111680 is about 15136.4355117049. The cubic root of 229111680 is about 611.9027569875.

The spelling of 229111680 in words is "two hundred twenty-nine million, one hundred eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 17047 34094 51141 68188 85235 102282 119329 136376 170470 204564 238658 255705 272752 340940 357987 409128 477316 511410 545504 596645 681880 715974 818256 954632 1022820 1091008 1193290 1363760 1431948 1636512 1789935 1909264 2045640 2182016 2386580 2727520 2863896 3273024 3579870 3818528 4091280 4773160 5455040 5727792 6546048 7159740 7637056 8182560 9546320 10910080 11455584 14319480 15274112 16365120 19092640 22911168 28638960 32730240 38185280 45822336 57277920 76370560 114555840 229111680