Search a number
-
+
10010222000 = 24536182051
BaseRepresentation
bin10010101001010011…
…11101110110110000
3221211121222222001222
421110221331312300
5131000104101000
64333145444212
7503030324462
oct112451756660
927747888058
1010010222000
114277566a49
121b344a0668
13c36b590ac
146ad664132
153d8c2ba85
hex254a7ddb0

10010222000 has 80 divisors (see below), whose sum is σ = 24601815264. Its totient is φ = 3938400000.

The previous prime is 10010221987. The next prime is 10010222021. The reversal of 10010222000 is 22201001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80975 + ... + 163025.

Almost surely, 210010222000 is an apocalyptic number.

10010222000 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 10010222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300907632).

10010222000 is an abundant number, since it is smaller than the sum of its proper divisors (14591593264).

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

10010222000 is an equidigital number, since it uses as much as digits as its factorization.

10010222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82135 (or 82119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10010222000 its reverse (22201001), we get a palindrome (10032423001).

The spelling of 10010222000 in words is "ten billion, ten million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6100 7625 12200 15250 24400 30500 61000 82051 122000 164102 328204 410255 656408 820510 1312816 1641020 2051275 3282040 4102550 5005111 6564080 8205100 10010222 10256375 16410200 20020444 20512750 25025555 32820400 40040888 41025500 50051110 80081776 82051000 100102220 125127775 164102000 200204440 250255550 400408880 500511100 625638875 1001022200 1251277750 2002044400 2502555500 5005111000 10010222000