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140227220 = 225721719443
BaseRepresentation
bin10000101101110…
…11001010010100
3100202212021120202
420112323022110
5241344232340
621525320032
73321624500
oct1026731224
9322767522
10140227220
1172177871
123ab66018
13230898b3
14148a3300
15c49dc15
hex85bb294

140227220 has 144 divisors (see below), whose sum is σ = 382656960. Its totient is φ = 42771456.

The previous prime is 140227193. The next prime is 140227223. The reversal of 140227220 is 22722041.

It is a happy number.

It is a super-3 number, since 3×1402272203 (a number of 25 digits) contains 333 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 = 140227192 and 140227201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140227223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316319 + ... + 316761.

It is an arithmetic number, because the mean of its divisors is an integer number (2657340).

Almost surely, 2140227220 is an apocalyptic number.

140227220 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 140227220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191328480).

140227220 is an abundant number, since it is smaller than the sum of its proper divisors (242429740).

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

140227220 is a wasteful number, since it uses less digits than its factorization.

140227220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 140227220 is about 11841.7574709162. The cubic root of 140227220 is about 519.5301722785.

Adding to 140227220 its reverse (22722041), we get a palindrome (162949261).

The spelling of 140227220 in words is "one hundred forty million, two hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 49 68 70 76 85 95 98 119 133 140 170 190 196 238 245 266 323 340 380 443 476 490 532 595 646 665 833 886 931 980 1190 1292 1330 1615 1666 1772 1862 2215 2261 2380 2660 3101 3230 3332 3724 4165 4430 4522 4655 6202 6460 7531 8330 8417 8860 9044 9310 11305 12404 15062 15505 15827 16660 16834 18620 21707 22610 30124 31010 31654 33668 37655 42085 43414 45220 52717 58919 62020 63308 75310 79135 84170 86828 105434 108535 117838 143089 150620 158270 168340 210868 217070 235676 263585 286178 294595 316540 369019 412433 434140 527170 572356 589190 715445 738038 824866 1001623 1054340 1178380 1430890 1476076 1649732 1845095 2003246 2062165 2861780 3690190 4006492 4124330 5008115 7011361 7380380 8248660 10016230 14022722 20032460 28045444 35056805 70113610 140227220