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211102220 = 22577919087
BaseRepresentation
bin11001001010100…
…10101000001100
3112201020002210202
430211102220030
5413020232340
632540353032
75142224240
oct1445225014
9481202722
10211102220
11a918624a
125a845778
1334973774
1420072420
15137edc15
hexc952a0c

211102220 has 48 divisors (see below), whose sum is σ = 513085440. Its totient is φ = 71457984.

The previous prime is 211102207. The next prime is 211102249. The reversal of 211102220 is 22201112.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1517 + ... + 20603.

It is an arithmetic number, because the mean of its divisors is an integer number (10689280).

Almost surely, 2211102220 is an apocalyptic number.

211102220 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 211102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256542720).

211102220 is an abundant number, since it is smaller than the sum of its proper divisors (301983220).

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

211102220 is a wasteful number, since it uses less digits than its factorization.

211102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19182 (or 19180 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 211102220 is about 14529.3571777970. The cubic root of 211102220 is about 595.4303033289.

Adding to 211102220 its reverse (22201112), we get a palindrome (233303332).

The spelling of 211102220 in words is "two hundred eleven million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 11060 19087 38174 76348 95435 133609 190870 267218 381740 534436 668045 1336090 1507873 2672180 3015746 6031492 7539365 10555111 15078730 21110222 30157460 42220444 52775555 105551110 211102220