Search a number
-
+
2022300 = 2233527107
BaseRepresentation
bin111101101101110011100
310210202002000
413231232130
51004203200
6111202300
723121630
oct7555634
93722060
102022300
111161425
12816390
1355a637
143a8dc0
1529e300
hex1edb9c

2022300 has 144 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 457920.

The previous prime is 2022289. The next prime is 2022301. The reversal of 2022300 is 32202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18847 + ... + 18953.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

22022300 is an apocalyptic number.

2022300 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 2022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2022300 is an abundant number, since it is smaller than the sum of its proper divisors (5477220).

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

2022300 is a wasteful number, since it uses less digits than its factorization.

2022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2022300 is about 1422.0759473390. The cubic root of 2022300 is about 126.4586459418.

Adding to 2022300 its reverse (32202), we get a palindrome (2054502).

The spelling of 2022300 in words is "two million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 107 108 126 135 140 150 175 180 189 210 214 225 252 270 300 315 321 350 378 420 428 450 525 535 540 630 642 675 700 749 756 900 945 963 1050 1070 1260 1284 1350 1498 1575 1605 1890 1926 2100 2140 2247 2675 2700 2889 2996 3150 3210 3745 3780 3852 4494 4725 4815 5350 5778 6300 6420 6741 7490 8025 8988 9450 9630 10700 11235 11556 13482 14445 14980 16050 18725 18900 19260 20223 22470 24075 26964 28890 32100 33705 37450 40446 44940 48150 56175 57780 67410 72225 74900 80892 96300 101115 112350 134820 144450 168525 202230 224700 288900 337050 404460 505575 674100 1011150 2022300