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2224341020 = 22511194112979
BaseRepresentation
bin1000010010010100…
…1100000000011100
312202000111020020202
42010211030000130
514023412403040
61004415203032
7106056405146
oct20445140034
95660436222
102224341020
11a41645370
12520b16478
13295aa4925
141715b5c96
15d0429015
hex8494c01c

2224341020 has 96 divisors (see below), whose sum is σ = 5495212800. Its totient is φ = 747532800.

The previous prime is 2224340933. The next prime is 2224341043. The reversal of 2224341020 is 201434222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2224340983 and 2224341001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164891 + ... + 177869.

It is an arithmetic number, because the mean of its divisors is an integer number (57241800).

Almost surely, 22224341020 is an apocalyptic number.

2224341020 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 2224341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747606400).

2224341020 is an abundant number, since it is smaller than the sum of its proper divisors (3270871780).

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

2224341020 is a wasteful number, since it uses less digits than its factorization.

2224341020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13059 (or 13057 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2224341020 is about 47162.9199689756. The cubic root of 2224341020 is about 1305.3704892896.

Adding to 2224341020 its reverse (201434222), we get a palindrome (2425775242).

The spelling of 2224341020 in words is "two billion, two hundred twenty-four million, three hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 41 44 55 76 82 95 110 164 190 205 209 220 380 410 418 451 779 820 836 902 1045 1558 1804 2090 2255 3116 3895 4180 4510 7790 8569 9020 12979 15580 17138 25958 34276 42845 51916 64895 85690 129790 142769 171380 246601 259580 285538 493202 532139 571076 713845 986404 1064278 1233005 1427690 2128556 2466010 2660695 2712611 2855380 4932020 5321390 5425222 5853529 10110641 10642780 10850444 11707058 13563055 20221282 23414116 27126110 29267645 40442564 50553205 54252220 58535290 101106410 111217051 117070580 202212820 222434102 444868204 556085255 1112170510 2224341020