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15042212000 = 255317221209
BaseRepresentation
bin11100000001001010…
…11111000010100000
31102211022120112122222
432000211133002200
5221301301241000
610524342450212
71041521456324
oct160045370240
942738515588
1015042212000
116419a33572
122ab9733968
13155950867a
14a29a91984
155d08a1a85
hex38095f0a0

15042212000 has 96 divisors (see below), whose sum is σ = 39132933840. Its totient is φ = 5662924800.

The previous prime is 15042211997. The next prime is 15042212023. The reversal of 15042212000 is 21224051.

It can be written as a sum of positive squares in 8 ways, for example, as 1252876816 + 13789335184 = 35396^2 + 117428^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 15042212000.

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 15 ways as a sum of consecutive naturals, for example, 42605 + ... + 178604.

Almost surely, 215042212000 is an apocalyptic number.

15042212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15042212000 is an abundant number, since it is smaller than the sum of its proper divisors (24090721840).

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

15042212000 is a wasteful number, since it uses less digits than its factorization.

15042212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221251 (or 221233 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 15042212000 its reverse (21224051), we get a palindrome (15063436051).

The spelling of 15042212000 in words is "fifteen billion, forty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 221209 442418 884836 1106045 1769672 2212090 3539344 3760553 4424180 5530225 7078688 7521106 8848360 11060450 15042212 17696720 18802765 22120900 27651125 30084424 35393440 37605530 44241800 55302250 60168848 75211060 88483600 94013825 110604500 120337696 150422120 176967200 188027650 221209000 300844240 376055300 442418000 470069125 601688480 752110600 884836000 940138250 1504221200 1880276500 3008442400 3760553000 7521106000 15042212000