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45222660 = 223257191889
BaseRepresentation
bin1010110010000…
…0101100000100
310011002112211100
42230200230010
543034111120
64253140100
71056246330
oct254405404
9104075740
1045222660
11235884aa
121318a630
1394a4a92
1460127c0
153e84490
hex2b20b04

45222660 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 9787392.

The previous prime is 45222643. The next prime is 45222673. The reversal of 45222660 is 6622254.

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, 22996 + ... + 24884.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 245222660 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 45222660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

45222660 is an abundant number, since it is smaller than the sum of its proper divisors (119887740).

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

45222660 is a wasteful number, since it uses less digits than its factorization.

45222660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45222660 is about 6724.7795502901. The cubic root of 45222660 is about 356.2750157872.

The spelling of 45222660 in words is "forty-five million, two hundred twenty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1889 1995 2394 2660 3420 3778 3990 4788 5667 5985 7556 7980 9445 11334 11970 13223 17001 18890 22668 23940 26446 28335 34002 35891 37780 39669 52892 56670 66115 68004 71782 79338 85005 107673 113340 119007 132230 143564 158676 170010 179455 198345 215346 238014 251237 264460 323019 340020 358910 396690 430692 476028 502474 538365 595035 646038 717820 753711 793380 1004948 1076730 1190070 1256185 1292076 1507422 1615095 2153460 2261133 2380140 2512370 3014844 3230190 3768555 4522266 5024740 6460380 7537110 9044532 11305665 15074220 22611330 45222660