Search a number
-
+
2122320 = 243537239
BaseRepresentation
bin1000000110001001010000
310222211021110
420012021100
51020403240
6113253320
724016344
oct10061120
93884243
102122320
11121a592
12864240
13594015
143d3624
152bdc80
hex206250

2122320 has 80 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 548352.

The previous prime is 2122303. The next prime is 2122321. The reversal of 2122320 is 232212.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 2122296 and 2122305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8761 + ... + 8999.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

22122320 is an apocalyptic number.

2122320 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 2122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2122320 is an abundant number, since it is smaller than the sum of its proper divisors (4662960).

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

2122320 is a wasteful number, since it uses less digits than its factorization.

2122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2122320 is about 1456.8184512835. The cubic root of 2122320 is about 128.5100094652.

Adding to 2122320 its reverse (232212), we get a palindrome (2354532).

It can be divided in two parts, 2122 and 320, that added together give a palindrome (2442).

The spelling of 2122320 in words is "two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 239 240 296 370 444 478 555 592 717 740 888 956 1110 1195 1434 1480 1776 1912 2220 2390 2868 2960 3585 3824 4440 4780 5736 7170 8843 8880 9560 11472 14340 17686 19120 26529 28680 35372 44215 53058 57360 70744 88430 106116 132645 141488 176860 212232 265290 353720 424464 530580 707440 1061160 2122320