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10033223000 = 235371251563
BaseRepresentation
bin10010101100000011…
…01101010101011000
3221220020021112111212
421112001231111120
5131022001114000
64335330442252
7503426663003
oct112601552530
927806245455
1010033223000
114289546a39
121b40133388
13c3b850458
146b273053a
153dac71c35
hex25606d558

10033223000 has 128 divisors (see below), whose sum is σ = 23945725440. Its totient is φ = 3934000000.

The previous prime is 10033222957. The next prime is 10033223021. The reversal of 10033223000 is 32233001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17820719 + ... + 17821281.

It is an arithmetic number, because the mean of its divisors is an integer number (187075980).

Almost surely, 210033223000 is an apocalyptic number.

10033223000 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 10033223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11972862720).

10033223000 is an abundant number, since it is smaller than the sum of its proper divisors (13912502440).

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

10033223000 is a wasteful number, since it uses less digits than its factorization.

10033223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 10033223000 its reverse (32233001), we get a palindrome (10065456001).

The spelling of 10033223000 in words is "ten billion, thirty-three million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 251 284 355 500 502 563 568 710 1000 1004 1126 1255 1420 1775 2008 2252 2510 2815 2840 3550 4504 5020 5630 6275 7100 8875 10040 11260 12550 14075 14200 17750 17821 22520 25100 28150 31375 35500 35642 39973 50200 56300 62750 70375 71000 71284 79946 89105 112600 125500 140750 141313 142568 159892 178210 199865 251000 281500 282626 319784 356420 399730 445525 563000 565252 706565 712840 799460 891050 999325 1130504 1413130 1598920 1782100 1998650 2227625 2826260 3532825 3564200 3997300 4455250 4996625 5652520 7065650 7994600 8910500 9993250 10033223 14131300 17664125 17821000 19986500 20066446 28262600 35328250 39973000 40132892 50166115 70656500 80265784 100332230 141313000 200664460 250830575 401328920 501661150 1003322300 1254152875 2006644600 2508305750 5016611500 10033223000