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220212100 = 22522202121
BaseRepresentation
bin11010010000000…
…10101110000100
3120100100221012201
431020002232010
5422333241400
633503524244
75312525533
oct1510025604
9510327181
10220212100
11103338679
12618b9684
1336813124
142136431a
15144ed06a
hexd202b84

220212100 has 18 divisors (see below), whose sum is σ = 477860474. Its totient is φ = 88084800.

The previous prime is 220212079. The next prime is 220212121. The reversal of 220212100 is 1212022.

It is an interprime number because it is at equal distance from previous prime (220212079) and next prime (220212121).

It can be written as a sum of positive squares in 3 ways, for example, as 44702596 + 175509504 = 6686^2 + 13248^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1100961 + ... + 1101160.

Almost surely, 2220212100 is an apocalyptic number.

220212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212100 is an abundant number, since it is smaller than the sum of its proper divisors (257648374).

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

220212100 is a wasteful number, since it uses less digits than its factorization.

220212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202135 (or 2202128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 220212100 is about 14839.5451412771. The cubic root of 220212100 is about 603.8750125133.

Adding to 220212100 its reverse (1212022), we get a palindrome (221424122).

The spelling of 220212100 in words is "two hundred twenty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2202121 4404242 8808484 11010605 22021210 44042420 55053025 110106050 220212100