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20223420 = 22357179269
BaseRepresentation
bin100110100100…
…1010110111100
31102001110022120
41031021112330
520134122140
62001242540
7333616260
oct115112674
942043276
1020223420
1110463178
126933450
134261029
1429860a0
151b971d0
hex13495bc

20223420 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 4579584.

The previous prime is 20223403. The next prime is 20223443. The reversal of 20223420 is 2432202.

It is a super-3 number, since 3×202234203 (a number of 23 digits) contains 333 as substring.

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 20223420.

It is a congruent number.

It is an unprimeable number.

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, 75046 + ... + 75314.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 220223420 is an apocalyptic number.

20223420 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 20223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

20223420 is an abundant number, since it is smaller than the sum of its proper divisors (45094980).

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

20223420 is a wasteful number, since it uses less digits than its factorization.

20223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20223420 is about 4497.0456968992. The cubic root of 20223420 is about 272.4487797566.

Adding to 20223420 its reverse (2432202), we get a palindrome (22655622).

The spelling of 20223420 in words is "twenty million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 179 210 269 358 420 537 538 716 807 895 1074 1076 1253 1345 1614 1790 1883 2148 2506 2685 2690 3228 3580 3759 3766 4035 5012 5370 5380 5649 6265 7518 7532 8070 9415 10740 11298 12530 15036 16140 18795 18830 22596 25060 28245 37590 37660 48151 56490 75180 96302 112980 144453 192604 240755 288906 337057 481510 577812 674114 722265 963020 1011171 1348228 1444530 1685285 2022342 2889060 3370570 4044684 5055855 6741140 10111710 20223420