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2214410420 = 2252959163397
BaseRepresentation
bin1000001111111101…
…0011100010110100
312201022210201000202
42003333103202310
514013342113140
61003422300032
7105606115025
oct20377234264
95638721022
102214410420
11a36a82362
12519727618
13293a08831
1417014cc4c
15ce616915
hex83fd38b4

2214410420 has 96 divisors (see below), whose sum is σ = 4934563200. Its totient is φ = 833462784.

The previous prime is 2214410411. The next prime is 2214410441. The reversal of 2214410420 is 240144122.

It is a super-2 number, since 2×22144104202 = 9807227016409152800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2214410392 and 2214410401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5577662 + ... + 5578058.

It is an arithmetic number, because the mean of its divisors is an integer number (51401700).

Almost surely, 22214410420 is an apocalyptic number.

2214410420 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 2214410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467281600).

2214410420 is an abundant number, since it is smaller than the sum of its proper divisors (2720152780).

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

2214410420 is a wasteful number, since it uses less digits than its factorization.

2214410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2214410420 is about 47057.5224592201. The cubic root of 2214410420 is about 1303.4249765311.

Adding to 2214410420 its reverse (240144122), we get a palindrome (2454554542).

The spelling of 2214410420 in words is "two billion, two hundred fourteen million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 163 236 290 295 326 397 580 590 652 794 815 1180 1588 1630 1711 1985 3260 3422 3970 4727 6844 7940 8555 9454 9617 11513 17110 18908 19234 23026 23423 23635 34220 38468 46052 46846 47270 48085 57565 64711 93692 94540 96170 115130 117115 129422 192340 230260 234230 258844 278893 323555 468460 557786 647110 679267 1115572 1294220 1358534 1394465 1876619 2717068 2788930 3396335 3753238 3817949 5577860 6792670 7506476 7635898 9383095 13585340 15271796 18766190 19089745 37532380 38179490 76358980 110720521 221441042 442882084 553602605 1107205210 2214410420