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210100220 = 225111994799
BaseRepresentation
bin11001000010111…
…01111111111100
3112122100012022122
430201131333330
5412241201340
632503102112
75130552041
oct1441357774
9478305278
10210100220
11a8661450
125a441938
13346b2675
141dc911c8
15136a1db5
hexc85dffc

210100220 has 48 divisors (see below), whose sum is σ = 483840000. Its totient is φ = 76000320.

The previous prime is 210100211. The next prime is 210100243. The reversal of 210100220 is 22001012.

It is a junction number, because it is equal to n+sod(n) for n = 210100198 and 210100207.

It is a congruent number.

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, 41381 + ... + 46179.

It is an arithmetic number, because the mean of its divisors is an integer number (10080000).

Almost surely, 2210100220 is an apocalyptic number.

210100220 is a gapful number since it is divisible by the number (20) 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 210100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920000).

210100220 is an abundant number, since it is smaller than the sum of its proper divisors (273739780).

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

210100220 is a wasteful number, since it uses less digits than its factorization.

210100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 5016 counting only the distinct ones).

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

The square root of 210100220 is about 14494.8342522431. The cubic root of 210100220 is about 594.4867357715.

Adding to 210100220 its reverse (22001012), we get a palindrome (232101232).

The spelling of 210100220 in words is "two hundred ten million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 4799 8756 9598 10945 19196 21890 23995 43780 47990 52789 95980 105578 211156 263945 527890 955001 1055780 1910002 3820004 4775005 9550010 10505011 19100020 21010022 42020044 52525055 105050110 210100220