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10024442000 = 24534722269
BaseRepresentation
bin10010101011000000…
…01101100010010000
3221212121202102020122
421111200031202100
5131012224121000
64334414325412
7503262231266
oct112540154220
927777672218
1010024442000
114284599711
121b391b9868
13c39a976b1
146b14c6436
153da0da085
hex25580d890

10024442000 has 120 divisors (see below), whose sum is σ = 24776714040. Its totient is φ = 3922732800.

The previous prime is 10024441963. The next prime is 10024442039. The reversal of 10024442000 is 24442001.

Adding to 10024442000 its reverse (24442001), we get a palindrome (10048884001).

Subtracting from 10024442000 its reverse (24442001), we obtain a palindrome (9999999999).

It can be written as a sum of positive squares in 4 ways, for example, as 2316304384 + 7708137616 = 48128^2 + 87796^2 .

It is a super-2 number, since 2×100244420002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10024442000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4416866 + ... + 4419134.

It is an arithmetic number, because the mean of its divisors is an integer number (206472617).

Almost surely, 210024442000 is an apocalyptic number.

10024442000 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 10024442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12388357020).

10024442000 is an abundant number, since it is smaller than the sum of its proper divisors (14752272040).

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

10024442000 is an equidigital number, since it uses as much as digits as its factorization.

10024442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The spelling of 10024442000 in words is "ten billion, twenty-four million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2209 2269 2350 3760 4418 4538 4700 5875 8836 9076 9400 11045 11345 11750 17672 18152 18800 22090 22690 23500 35344 36304 44180 45380 47000 55225 56725 88360 90760 94000 106643 110450 113450 176720 181520 213286 220900 226900 276125 283625 426572 441800 453800 533215 552250 567250 853144 883600 907600 1066430 1104500 1134500 1706288 2132860 2209000 2269000 2666075 4265720 4418000 4538000 5012221 5332150 8531440 10024442 10664300 13330375 20048884 21328600 25061105 26660750 40097768 42657200 50122210 53321500 80195536 100244420 106643000 125305525 200488840 213286000 250611050 400977680 501222100 626527625 1002444200 1253055250 2004888400 2506110500 5012221000 10024442000