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142204224 = 2634011847
BaseRepresentation
bin10000111100111…
…01110101000000
3100220120201112010
420132131311000
5242401013344
622035532520
73344500401
oct1036356500
9326521463
10142204224
11732a8158
123b75a140
13235cc716
1414c599a8
15c73e8b9
hex879dd40

142204224 has 56 divisors (see below), whose sum is σ = 377391168. Its totient is φ = 47257600.

The previous prime is 142204207. The next prime is 142204243. The reversal of 142204224 is 422402241.

It is a self number, because there is not a number n which added to its sum of digits gives 142204224.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76069 + ... + 77915.

It is an arithmetic number, because the mean of its divisors is an integer number (6739128).

Almost surely, 2142204224 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 142204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188695584).

142204224 is an abundant number, since it is smaller than the sum of its proper divisors (235186944).

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

142204224 is a wasteful number, since it uses less digits than its factorization.

142204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 142204224 is about 11924.9412577170. The cubic root of 142204224 is about 521.9603322714.

Adding to 142204224 its reverse (422402241), we get a palindrome (564606465).

The spelling of 142204224 in words is "one hundred forty-two million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 401 802 1203 1604 1847 2406 3208 3694 4812 5541 6416 7388 9624 11082 12832 14776 19248 22164 25664 29552 38496 44328 59104 76992 88656 118208 177312 354624 740647 1481294 2221941 2962588 4443882 5925176 8887764 11850352 17775528 23700704 35551056 47401408 71102112 142204224