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10022330000 = 24545916987
BaseRepresentation
bin10010101010110000…
…01001111010010000
3221212110210010010102
421111120021322100
5131011204030000
64334301151532
7503235253664
oct112530117220
927773703112
1010022330000
114283386961
121b3855b5a8
13c395082a7
146b10d68a4
153d9d1e3d5
hex255609e90

10022330000 has 100 divisors (see below), whose sum is σ = 24677788080. Its totient is φ = 3940752000.

The previous prime is 10022329913. The next prime is 10022330027. The reversal of 10022330000 is 3322001.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 581507 + ... + 598493.

Almost surely, 210022330000 is an apocalyptic number.

10022330000 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 10022330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12338894040).

10022330000 is an abundant number, since it is smaller than the sum of its proper divisors (14655458080).

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

10022330000 is an equidigital number, since it uses as much as digits as its factorization.

10022330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17074 (or 17053 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 10022330000 its reverse (3322001), we get a palindrome (10025652001).

The spelling of 10022330000 in words is "ten billion, twenty-two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 625 944 1000 1180 1250 1475 2000 2360 2500 2950 4720 5000 5900 7375 10000 11800 14750 16987 23600 29500 33974 36875 59000 67948 73750 84935 118000 135896 147500 169870 271792 295000 339740 424675 590000 679480 849350 1002233 1358960 1698700 2004466 2123375 3397400 4008932 4246750 5011165 6794800 8017864 8493500 10022330 10616875 16035728 16987000 20044660 21233750 25055825 33974000 40089320 42467500 50111650 80178640 84935000 100223300 125279125 169870000 200446600 250558250 400893200 501116500 626395625 1002233000 1252791250 2004466000 2505582500 5011165000 10022330000