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2022230320 = 245112979241
BaseRepresentation
bin111100010001000…
…1100100100110000
312012221011221111021
41320202030210300
513120142332240
6532355225224
7101053450135
oct17042144460
95187157437
102022230320
11948550630
124852a8214
13262c5b9b6
1415280458c
15bc80454a
hex7888c930

2022230320 has 80 divisors (see below), whose sum is σ = 5306044320. Its totient is φ = 709990400.

The previous prime is 2022230297. The next prime is 2022230411. The reversal of 2022230320 is 230322202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2022230294 and 2022230303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14101 + ... + 65140.

It is an arithmetic number, because the mean of its divisors is an integer number (66325554).

Almost surely, 22022230320 is an apocalyptic number.

2022230320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022230320 is an abundant number, since it is smaller than the sum of its proper divisors (3283814000).

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

2022230320 is a wasteful number, since it uses less digits than its factorization.

2022230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79294 (or 79288 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2022230320 is about 44969.2152477670. The cubic root of 2022230320 is about 1264.5719351309.

Adding to 2022230320 its reverse (230322202), we get a palindrome (2252552522).

The spelling of 2022230320 in words is "two billion, twenty-two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 79241 158482 316964 396205 633928 792410 871651 1267856 1584820 1743302 2297989 3169640 3486604 4358255 4595978 6339280 6973208 8716510 9191956 11489945 13946416 17433020 18383912 22979890 25277879 34866040 36767824 45959780 50555758 69732080 91919560 101111516 126389395 183839120 202223032 252778790 404446064 505557580 1011115160 2022230320