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2210130414 = 23389577797
BaseRepresentation
bin1000001110111011…
…1110100111101110
312201000202020222000
42003232332213232
514011243133124
61003150433130
7105524540622
oct20356764756
95630666860
102210130414
11a34619768
125182027a6
13292b6a69b
1416d757182
15ce06d6c9
hex83bbe9ee

2210130414 has 64 divisors (see below), whose sum is σ = 4981435200. Its totient is φ = 726257664.

The previous prime is 2210130401. The next prime is 2210130437. The reversal of 2210130414 is 4140310122.

2210130414 is a `hidden beast` number, since 221 + 0 + 1 + 30 + 414 = 666.

It is a super-2 number, since 2×22101304142 = 9769352893775622792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2772664 + ... + 2773460.

It is an arithmetic number, because the mean of its divisors is an integer number (77834925).

Almost surely, 22210130414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210130414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490717600).

2210130414 is an abundant number, since it is smaller than the sum of its proper divisors (2771304786).

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

2210130414 is a wasteful number, since it uses less digits than its factorization.

2210130414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2210130414 is about 47012.0241427659. The cubic root of 2210130414 is about 1302.5846829286.

Adding to 2210130414 its reverse (4140310122), we get a palindrome (6350440536).

The spelling of 2210130414 in words is "two billion, two hundred ten million, one hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 577 797 801 1154 1594 1602 1731 2391 2403 3462 4782 4806 5193 7173 10386 14346 15579 21519 31158 43038 51353 70933 102706 141866 154059 212799 308118 425598 459869 462177 638397 919738 924354 1276794 1379607 1386531 1915191 2759214 2773062 3830382 4138821 8277642 12416463 24832926 40928341 81856682 122785023 245570046 368355069 736710138 1105065207 2210130414