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142224460 = 225721031409
BaseRepresentation
bin10000111101000…
…10110001001100
3100220121202021121
420132202301030
5242402140320
622040210324
73344613400
oct1036426114
9326552247
10142224460
1173311384
123b7699a4
13236089b1
1414c63100
15c7458aa
hex87a2c4c

142224460 has 72 divisors (see below), whose sum is σ = 351056160. Its totient is φ = 48254976.

The previous prime is 142224457. The next prime is 142224461. The reversal of 142224460 is 64422241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (142224461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100236 + ... + 101644.

It is an arithmetic number, because the mean of its divisors is an integer number (4875780).

Almost surely, 2142224460 is an apocalyptic number.

142224460 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 142224460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175528080).

142224460 is an abundant number, since it is smaller than the sum of its proper divisors (208831700).

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

142224460 is a wasteful number, since it uses less digits than its factorization.

142224460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 142224460 is about 11925.7897013154. The cubic root of 142224460 is about 521.9850898302.

The spelling of 142224460 in words is "one hundred forty-two million, two hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 103 140 196 206 245 412 490 515 721 980 1030 1409 1442 2060 2818 2884 3605 5047 5636 7045 7210 9863 10094 14090 14420 19726 20188 25235 28180 39452 49315 50470 69041 98630 100940 138082 145127 197260 276164 290254 345205 580508 690410 725635 1015889 1380820 1451270 2031778 2902540 4063556 5079445 7111223 10158890 14222446 20317780 28444892 35556115 71112230 142224460