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142224500 = 225311191361
BaseRepresentation
bin10000111101000…
…10110001110100
3100220121202100002
420132202301310
5242402141000
622040210432
73344613455
oct1036426164
9326552302
10142224500
1173311410
123b769a18
1323608a12
1414c6312c
15c7458d5
hex87a2c74

142224500 has 96 divisors (see below), whose sum is σ = 356952960. Its totient is φ = 48960000.

The previous prime is 142224461. The next prime is 142224503. The reversal of 142224500 is 5422241.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142224503) 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 31 ways as a sum of consecutive naturals, for example, 103820 + ... + 105180.

It is an arithmetic number, because the mean of its divisors is an integer number (3718260).

Almost surely, 2142224500 is an apocalyptic number.

142224500 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 142224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178476480).

142224500 is an abundant number, since it is smaller than the sum of its proper divisors (214728460).

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

142224500 is a wasteful number, since it uses less digits than its factorization.

142224500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1398 counting only the distinct ones).

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

The square root of 142224500 is about 11925.7913783531. The cubic root of 142224500 is about 521.9851387655.

Adding to 142224500 its reverse (5422241), we get a palindrome (147646741).

The spelling of 142224500 in words is "one hundred forty-two million, two hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 125 190 209 220 250 275 380 418 475 500 550 836 950 1045 1100 1361 1375 1900 2090 2375 2722 2750 4180 4750 5225 5444 5500 6805 9500 10450 13610 14971 20900 25859 26125 27220 29942 34025 51718 52250 59884 68050 74855 103436 104500 129295 136100 149710 170125 258590 284449 299420 340250 374275 517180 568898 646475 680500 748550 1137796 1292950 1422245 1497100 1871375 2585900 2844490 3232375 3742750 5688980 6464750 7111225 7485500 12929500 14222450 28444900 35556125 71112250 142224500