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2210201312 = 251119731873
BaseRepresentation
bin1000001110111100…
…1111111011100000
312201000212212012212
42003233033323200
514011302420222
61003152141252
7105525254414
oct20357177340
95630785185
102210201312
11a34667a60
12518237828
13292b93a37
1416d774d44
15ce0846e2
hex83bcfee0

2210201312 has 48 divisors (see below), whose sum is σ = 4771155312. Its totient is φ = 999505920.

The previous prime is 2210201299. The next prime is 2210201341. The reversal of 2210201312 is 2131020122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53408 + ... + 85280.

It is an arithmetic number, because the mean of its divisors is an integer number (99399069).

Almost surely, 22210201312 is an apocalyptic number.

2210201312 is a gapful number since it is divisible by the number (22) 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 2210201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385577656).

2210201312 is an abundant number, since it is smaller than the sum of its proper divisors (2560954000).

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

2210201312 is a wasteful number, since it uses less digits than its factorization.

2210201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32091 (or 32083 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2210201312 is about 47012.7781778529. The cubic root of 2210201312 is about 1302.5986111657.

Adding to 2210201312 its reverse (2131020122), we get a palindrome (4341221434).

The spelling of 2210201312 in words is "two billion, two hundred ten million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 197 352 394 788 1576 2167 3152 4334 6304 8668 17336 31873 34672 63746 69344 127492 254984 350603 509968 701206 1019936 1402412 2804824 5609648 6278981 11219296 12557962 25115924 50231848 69068791 100463696 138137582 200927392 276275164 552550328 1105100656 2210201312