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2204402420 = 22511191972677
BaseRepresentation
bin1000001101100100…
…1000001011110100
312200121222020122002
42003121020023310
514003311334140
61002423554432
7105425053133
oct20331101364
95617866562
102204402420
11a31367190
125162bba18
1329191343c
1416caa591a
15cd7db415
hex836482f4

2204402420 has 96 divisors (see below), whose sum is σ = 5344859520. Its totient is φ = 755274240.

The previous prime is 2204402411. The next prime is 2204402437. The reversal of 2204402420 is 242044022.

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 = 2204402392 and 2204402401.

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, 822122 + ... + 824798.

It is an arithmetic number, because the mean of its divisors is an integer number (55675620).

Almost surely, 22204402420 is an apocalyptic number.

2204402420 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 2204402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672429760).

2204402420 is an abundant number, since it is smaller than the sum of its proper divisors (3140457100).

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

2204402420 is a wasteful number, since it uses less digits than its factorization.

2204402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2204402420 is about 46951.0640986975. The cubic root of 2204402420 is about 1301.4584066653.

Adding to 2204402420 its reverse (242044022), we get a palindrome (2446446442).

The spelling of 2204402420 in words is "two billion, two hundred four million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 197 209 220 380 394 418 788 836 985 1045 1970 2090 2167 2677 3743 3940 4180 4334 5354 7486 8668 10708 10835 13385 14972 18715 21670 26770 29447 37430 41173 43340 50863 53540 58894 74860 82346 101726 117788 147235 164692 203452 205865 254315 294470 411730 508630 527369 559493 588940 823460 1017260 1054738 1118986 2109476 2237972 2636845 2797465 5273690 5594930 5801059 10020011 10547380 11189860 11602118 20040022 23204236 29005295 40080044 50100055 58010590 100200110 110220121 116021180 200400220 220440242 440880484 551100605 1102201210 2204402420