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2214031320 = 2337525309
BaseRepresentation
bin1000001111110111…
…0110111111011000
312201022002110000000
42003331312333120
514013243000240
61003410213000
7105602645544
oct20375667730
95638073000
102214031320
11a36843556
12519584160
13293905107
14170090a24
15ce58e430
hex83f76fd8

2214031320 has 128 divisors (see below), whose sum is σ = 7471512000. Its totient is φ = 590385024.

The previous prime is 2214031319. The next prime is 2214031321. The reversal of 2214031320 is 231304122.

It is an interprime number because it is at equal distance from previous prime (2214031319) and next prime (2214031321).

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

It is a junction number, because it is equal to n+sod(n) for n = 2214031293 and 2214031302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214031321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74826 + ... + 100134.

Almost surely, 22214031320 is an apocalyptic number.

2214031320 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 2214031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735756000).

2214031320 is an abundant number, since it is smaller than the sum of its proper divisors (5257480680).

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

2214031320 is an equidigital number, since it uses as much as digits as its factorization.

2214031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25341 (or 25319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2214031320 is about 47053.4942379416. The cubic root of 2214031320 is about 1303.3505915535.

Adding to 2214031320 its reverse (231304122), we get a palindrome (2445335442).

The spelling of 2214031320 in words is "two billion, two hundred fourteen million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2187 2430 2916 3240 3645 4374 4860 5832 7290 8748 9720 10935 14580 17496 21870 25309 29160 43740 50618 75927 87480 101236 126545 151854 202472 227781 253090 303708 379635 455562 506180 607416 683343 759270 911124 1012360 1138905 1366686 1518540 1822248 2050029 2277810 2733372 3037080 3416715 4100058 4555620 5466744 6150087 6833430 8200116 9111240 10250145 12300174 13666860 16400232 18450261 20500290 24600348 27333720 30750435 36900522 41000580 49200696 55350783 61500870 73801044 82001160 92251305 110701566 123001740 147602088 184502610 221403132 246003480 276753915 369005220 442806264 553507830 738010440 1107015660 2214031320