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20202240 = 28355261
BaseRepresentation
bin100110100010…
…0001100000000
31102000101021010
41031010030000
520132432430
62001000520
7333500442
oct115041400
942011233
1020202240
1110449273
126923140
1342544b6
14297c492
151b90cb0
hex1344300

20202240 has 72 divisors (see below), whose sum is σ = 64533168. Its totient is φ = 5386240.

The previous prime is 20202229. The next prime is 20202251. The reversal of 20202240 is 4220202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20202229) and next prime (20202251).

It is a super-3 number, since 3×202022403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210 + ... + 6470.

It is an arithmetic number, because the mean of its divisors is an integer number (896294).

Almost surely, 220202240 is an apocalyptic number.

20202240 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 20202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32266584).

20202240 is an abundant number, since it is smaller than the sum of its proper divisors (44330928).

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

20202240 is an equidigital number, since it uses as much as digits as its factorization.

20202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20202240 is about 4494.6902006701. The cubic root of 20202240 is about 272.3536346098.

Adding to 20202240 its reverse (4220202), we get a palindrome (24422442).

The spelling of 20202240 in words is "twenty million, two hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 5261 10522 15783 21044 26305 31566 42088 52610 63132 78915 84176 105220 126264 157830 168352 210440 252528 315660 336704 420880 505056 631320 673408 841760 1010112 1262640 1346816 1683520 2020224 2525280 3367040 4040448 5050560 6734080 10101120 20202240