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14542220 = 22572111971
BaseRepresentation
bin110111011110…
…010110001100
31000100211011202
4313132112030
512210322340
61235405032
7234415100
oct67362614
930324152
1014542220
118232870
124a53778
133022184
141d07900
151423c15
hexdde58c

14542220 has 144 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 4233600.

The previous prime is 14542219. The next prime is 14542237. The reversal of 14542220 is 2224541.

It is a happy number.

It is a super-2 number, since 2×145422202 = 422952325056800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14542192 and 14542201.

It is a congruent number.

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, 204785 + ... + 204855.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 214542220 is an apocalyptic number.

14542220 is a gapful number since it is divisible by the number (10) 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 14542220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

14542220 is an abundant number, since it is smaller than the sum of its proper divisors (26826100).

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

14542220 is a wasteful number, since it uses less digits than its factorization.

14542220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 14542220 is about 3813.4262809185. The cubic root of 14542220 is about 244.0863933074.

Adding to 14542220 its reverse (2224541), we get a palindrome (16766761).

The spelling of 14542220 in words is "fourteen million, five hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 49 55 70 71 76 77 95 98 110 133 140 142 154 190 196 209 220 245 266 284 308 355 380 385 418 490 497 532 539 665 710 770 781 836 931 980 994 1045 1078 1330 1349 1420 1463 1540 1562 1862 1988 2090 2156 2485 2660 2695 2698 2926 3124 3479 3724 3905 4180 4655 4970 5390 5396 5467 5852 6745 6958 7315 7810 9310 9443 9940 10241 10780 10934 13490 13916 14630 14839 15620 17395 18620 18886 20482 21868 26980 27335 29260 29678 34790 37772 38269 40964 47215 51205 54670 59356 66101 69580 74195 76538 94430 102410 103873 109340 132202 148390 153076 188860 191345 204820 207746 264404 296780 330505 382690 415492 519365 661010 727111 765380 1038730 1322020 1454222 2077460 2908444 3635555 7271110 14542220