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142304220 = 223252337929
BaseRepresentation
bin10000111101101…
…10001111011100
3100220202210200200
420132312033130
5242412213340
622042023500
73345365052
oct1036661734
9326683620
10142304220
11733662a3
123b7a7b90
13236360a6
1414c841d2
15c75e330
hex87b63dc

142304220 has 144 divisors (see below), whose sum is σ = 463095360. Its totient is φ = 35278848.

The previous prime is 142304209. The next prime is 142304221. The reversal of 142304220 is 22403241.

142304220 is a `hidden beast` number, since 14 + 230 + 422 + 0 = 666.

It is a super-3 number, since 3×1423042203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142304193 and 142304202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142304221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152716 + ... + 153644.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2142304220 is an apocalyptic number.

142304220 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 142304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

142304220 is an abundant number, since it is smaller than the sum of its proper divisors (320791140).

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

142304220 is a wasteful number, since it uses less digits than its factorization.

142304220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142304220 is about 11929.1332459655. The cubic root of 142304220 is about 522.0826486478.

Adding to 142304220 its reverse (22403241), we get a palindrome (164707461).

The spelling of 142304220 in words is "one hundred forty-two million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 37 45 46 60 69 74 90 92 111 115 138 148 180 185 207 222 230 276 333 345 370 414 444 460 555 666 690 740 828 851 929 1035 1110 1332 1380 1665 1702 1858 2070 2220 2553 2787 3330 3404 3716 4140 4255 4645 5106 5574 6660 7659 8361 8510 9290 10212 11148 12765 13935 15318 16722 17020 18580 21367 25530 27870 30636 33444 34373 38295 41805 42734 51060 55740 64101 68746 76590 83610 85468 103119 106835 128202 137492 153180 167220 171865 192303 206238 213670 256404 309357 320505 343730 384606 412476 427340 515595 618714 641010 687460 769212 790579 961515 1031190 1237428 1282020 1546785 1581158 1923030 2062380 2371737 3093570 3162316 3846060 3952895 4743474 6187140 7115211 7905790 9486948 11858685 14230422 15811580 23717370 28460844 35576055 47434740 71152110 142304220