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10350224000 = 2753646889
BaseRepresentation
bin10011010001110101…
…11110001010000000
3222201022202212010122
421220322332022000
5132144124132000
64431013115412
7514326311114
oct115072761200
928638685118
1010350224000
114431482536
12200a328b68
13c8c4215cc
1470288b744
154089dd085
hex268ebe280

10350224000 has 64 divisors (see below), whose sum is σ = 25733284200. Its totient is φ = 4140083200.

The previous prime is 10350223979. The next prime is 10350224011. The reversal of 10350224000 is 42205301.

It can be written as a sum of positive squares in 4 ways, for example, as 5963546176 + 4386677824 = 77224^2 + 66232^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10350224000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307445 + ... + 339444.

Almost surely, 210350224000 is an apocalyptic number.

10350224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10350224000 is an abundant number, since it is smaller than the sum of its proper divisors (15383060200).

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

10350224000 is an frugal number, since it uses more digits than its factorization.

10350224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646918 (or 646896 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 10350224000 its reverse (42205301), we get a palindrome (10392429301).

The spelling of 10350224000 in words is "ten billion, three hundred fifty million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 646889 1293778 2587556 3234445 5175112 6468890 10350224 12937780 16172225 20700448 25875560 32344450 41400896 51751120 64688900 80861125 82801792 103502240 129377800 161722250 207004480 258755600 323444500 414008960 517511200 646889000 1035022400 1293778000 2070044800 2587556000 5175112000 10350224000