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47221668 = 2232132341107
BaseRepresentation
bin1011010000100…
…0101110100100
310021212002221200
42310020232210
544042043133
64404042500
71112243334
oct264105644
9107762850
1047221668
112472337a
1213993430
139a24920
1463b30c4
15422b913
hex2d08ba4

47221668 has 144 divisors (see below), whose sum is σ = 138692736. Its totient is φ = 13432320.

The previous prime is 47221661. The next prime is 47221673. The reversal of 47221668 is 86612274.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47221661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441271 + ... + 441377.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 247221668 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 47221668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368).

47221668 is an abundant number, since it is smaller than the sum of its proper divisors (91471068).

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

47221668 is a wasteful number, since it uses less digits than its factorization.

47221668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 189 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 47221668 is about 6871.8023836545. The cubic root of 47221668 is about 361.4490668185.

The spelling of 47221668 in words is "forty-seven million, two hundred twenty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 41 46 52 69 78 82 92 107 117 123 138 156 164 207 214 234 246 276 299 321 369 414 428 468 492 533 598 642 738 828 897 943 963 1066 1196 1284 1391 1476 1599 1794 1886 1926 2132 2461 2691 2782 2829 3198 3588 3772 3852 4173 4387 4797 4922 5382 5564 5658 6396 7383 8346 8487 8774 9594 9844 10764 11316 12259 12519 13161 14766 16692 16974 17548 19188 22149 24518 25038 26322 29532 31993 33948 36777 39483 44298 49036 50076 52644 57031 63986 73554 78966 88596 95979 100901 110331 114062 127972 147108 157932 171093 191958 201802 220662 228124 287937 302703 342186 383916 403604 441324 513279 575874 605406 684372 908109 1026558 1151748 1210812 1311713 1816218 2053116 2623426 3632436 3935139 5246852 7870278 11805417 15740556 23610834 47221668