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2253303420 = 2235174153881
BaseRepresentation
bin1000011001001110…
…1010111001111100
312211000222200012020
42012103222321330
514103321202140
61011332040140
7106560522504
oct20623527174
95730880166
102253303420
11a56a27235
1252a763050
1329baa5544
14175394a04
15d2c4a6d0
hex864eae7c

2253303420 has 96 divisors (see below), whose sum is σ = 6843445056. Its totient is φ = 551731200.

The previous prime is 2253303419. The next prime is 2253303433. The reversal of 2253303420 is 243033522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14880 + ... + 68760.

It is an arithmetic number, because the mean of its divisors is an integer number (71285886).

Almost surely, 22253303420 is an apocalyptic number.

2253303420 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 2253303420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421722528).

2253303420 is an abundant number, since it is smaller than the sum of its proper divisors (4590141636).

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

2253303420 is a wasteful number, since it uses less digits than its factorization.

2253303420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53951 (or 53949 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2253303420 is about 47468.9732351565. The cubic root of 2253303420 is about 1311.0116731112.

Adding to 2253303420 its reverse (243033522), we get a palindrome (2496336942).

The spelling of 2253303420 in words is "two billion, two hundred fifty-three million, three hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 410 492 510 615 697 820 1020 1230 1394 2091 2460 2788 3485 4182 6970 8364 10455 13940 20910 41820 53881 107762 161643 215524 269405 323286 538810 646572 808215 915977 1077620 1616430 1831954 2209121 2747931 3232860 3663908 4418242 4579885 5495862 6627363 8836484 9159770 10991724 11045605 13254726 13739655 18319540 22091210 26509452 27479310 33136815 37555057 44182420 54958620 66273630 75110114 112665171 132547260 150220228 187775285 225330342 375550570 450660684 563325855 751101140 1126651710 2253303420