Search a number
-
+
2022223000 = 23537319319
BaseRepresentation
bin111100010001000…
…1010110010011000
312012221011120110011
41320202022302120
513120142114000
6532355131304
7101053416610
oct17042126230
95187146404
102022223000
11948546086
124852a3b34
13262c58575
14152801a40
15bc8022ba
hex7888ac98

2022223000 has 128 divisors (see below), whose sum is σ = 5583052800. Its totient is φ = 670896000.

The previous prime is 2022222973. The next prime is 2022223001. The reversal of 2022223000 is 3222202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022223001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212341 + ... + 221659.

It is an arithmetic number, because the mean of its divisors is an integer number (43617600).

Almost surely, 22022223000 is an apocalyptic number.

2022223000 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 2022223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791526400).

2022223000 is an abundant number, since it is smaller than the sum of its proper divisors (3560829800).

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

2022223000 is a wasteful number, since it uses less digits than its factorization.

2022223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2022223000 is about 44969.1338586813. The cubic root of 2022223000 is about 1264.5704093110.

Adding to 2022223000 its reverse (3222202), we get a palindrome (2025445202).

The spelling of 2022223000 in words is "two billion, twenty-two million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 125 140 155 175 200 217 248 250 280 310 350 434 500 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2170 3100 3500 3875 4340 5425 6200 7000 7750 8680 9319 10850 15500 18638 21700 27125 31000 37276 43400 46595 54250 65233 74552 93190 108500 130466 186380 217000 232975 260932 288889 326165 372760 465950 521864 577778 652330 931900 1155556 1164875 1304660 1444445 1630825 1863800 2022223 2311112 2329750 2609320 2888890 3261650 4044446 4659500 5777780 6523300 7222225 8088892 8154125 9319000 10111115 11555560 13046600 14444450 16177784 16308250 20222230 28888900 32616500 36111125 40444460 50555575 57777800 65233000 72222250 80888920 101111150 144444500 202222300 252777875 288889000 404444600 505555750 1011111500 2022223000