Search a number
-
+
22221420 = 22351331919
BaseRepresentation
bin101010011000…
…1001001101100
31112210222001120
41110301021230
521142041140
62112140540
7356610324
oct124611154
945728046
1022221420
11115a8311
127537750
1347b0590
142d46284
151e3e1d0
hex153126c

22221420 has 96 divisors (see below), whose sum is σ = 69242880. Its totient is φ = 5287680.

The previous prime is 22221391. The next prime is 22221449. The reversal of 22221420 is 2412222.

It is an interprime number because it is at equal distance from previous prime (22221391) and next prime (22221449).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22221420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23721 + ... + 24639.

It is an arithmetic number, because the mean of its divisors is an integer number (721280).

Almost surely, 222221420 is an apocalyptic number.

22221420 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 22221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34621440).

22221420 is an abundant number, since it is smaller than the sum of its proper divisors (47021460).

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

22221420 is a wasteful number, since it uses less digits than its factorization.

22221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22221420 is about 4713.9601186264. The cubic root of 22221420 is about 281.1408386244.

Adding to 22221420 its reverse (2412222), we get a palindrome (24633642).

The spelling of 22221420 in words is "twenty-two million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 919 930 1209 1612 1838 1860 2015 2418 2757 3676 4030 4595 4836 5514 6045 8060 9190 11028 11947 12090 13785 18380 23894 24180 27570 28489 35841 47788 55140 56978 59735 71682 85467 113956 119470 142445 143364 170934 179205 238940 284890 341868 358410 370357 427335 569780 716820 740714 854670 1111071 1481428 1709340 1851785 2222142 3703570 4444284 5555355 7407140 11110710 22221420