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2214023020 = 22511371012693
BaseRepresentation
bin1000001111110111…
…0100111101101100
312201022002000121121
42003331310331230
514013242214040
61003410110324
7105602612416
oct20375647554
95638060547
102214023020
11a368382a0
1251957b3a4
132939013c1
1417008b9b6
15ce58bc4a
hex83f74f6c

2214023020 has 96 divisors (see below), whose sum is σ = 5262739776. Its totient is φ = 775296000.

The previous prime is 2214023017. The next prime is 2214023029. The reversal of 2214023020 is 203204122.

It is a junction number, because it is equal to n+sod(n) for n = 2214022985 and 2214023003.

It is not an unprimeable number, because it can be changed into a prime (2214023029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820794 + ... + 823486.

It is an arithmetic number, because the mean of its divisors is an integer number (54820206).

Almost surely, 22214023020 is an apocalyptic number.

2214023020 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 2214023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631369888).

2214023020 is an abundant number, since it is smaller than the sum of its proper divisors (3048716756).

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

2214023020 is a wasteful number, since it uses less digits than its factorization.

2214023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2214023020 is about 47053.4060403708. The cubic root of 2214023020 is about 1303.3489628768.

Adding to 2214023020 its reverse (203204122), we get a palindrome (2417227142).

It can be divided in two parts, 221402 and 3020, that added together give a palindrome (224422).

The spelling of 2214023020 in words is "two billion, two hundred fourteen million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 101 110 148 185 202 220 370 404 407 505 740 814 1010 1111 1628 2020 2035 2222 2693 3737 4070 4444 5386 5555 7474 8140 10772 11110 13465 14948 18685 22220 26930 29623 37370 41107 53860 59246 74740 82214 99641 118492 148115 164428 199282 205535 271993 296230 398564 411070 498205 543986 592460 822140 996410 1087972 1096051 1359965 1992820 2192102 2719930 2991923 4384204 5439860 5480255 5983846 10063741 10960510 11967692 14959615 20127482 21921020 29919230 40254964 50318705 59838460 100637410 110701151 201274820 221402302 442804604 553505755 1107011510 2214023020