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2023222320 = 243357133811
BaseRepresentation
bin111100010010111…
…1110110000110000
312020000001100021000
41320211332300300
513120421103240
6532432402000
7101065051230
oct17045766060
95200040230
102023222320
11949068969
124856a6300
13263218392
141529c1cc0
15bc94d430
hex7897ec30

2023222320 has 160 divisors (see below), whose sum is σ = 7964490240. Its totient is φ = 462447360.

The previous prime is 2023222307. The next prime is 2023222349. The reversal of 2023222320 is 232223202.

2023222320 is a `hidden beast` number, since 20 + 2 + 322 + 2 + 320 = 666.

It is a super-2 number, since 2×20232223202 = 8186857112292364800, which contains 22 as substring.

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 = 2023222293 and 2023222302.

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, 51786 + ... + 82025.

It is an arithmetic number, because the mean of its divisors is an integer number (49778064).

Almost surely, 22023222320 is an apocalyptic number.

2023222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023222320 is an abundant number, since it is smaller than the sum of its proper divisors (5941267920).

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

2023222320 is a wasteful number, since it uses less digits than its factorization.

2023222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133840 (or 133828 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2023222320 is about 44980.2436631906. The cubic root of 2023222320 is about 1264.7786788567.

Adding to 2023222320 its reverse (232223202), we get a palindrome (2255445522).

The spelling of 2023222320 in words is "two billion, twenty-three million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 133811 267622 401433 535244 669055 802866 936677 1070488 1204299 1338110 1605732 1873354 2007165 2140976 2408598 2676220 2810031 3211464 3612897 3746708 4014330 4683385 4817196 5352440 5620062 6021495 6422928 7225794 7493416 8028660 8430093 9366770 9634392 10704880 11240124 12042990 14050155 14451588 14986832 16057320 16860186 18064485 18733540 19268784 22480248 24085980 25290279 28100310 28903176 32114640 33720372 36128970 37467080 42150465 44960496 48171960 50580558 56200620 57806352 67440744 72257940 74934160 84300930 96343920 101161116 112401240 126451395 134881488 144515880 168601860 202322232 224802480 252902790 289031760 337203720 404644464 505805580 674407440 1011611160 2023222320