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22050052420 = 225116712711779
BaseRepresentation
bin10100100010010010…
…010001100101000100
32002220201001201111011
4110202102101211010
5330124303134140
614044001052004
71410264232054
oct244222214504
962821051434
1022050052420
119395752820
124334627004
1321053281c6
1410d268d564
15890c18cea
hex522491944

22050052420 has 96 divisors (see below), whose sum is σ = 51676692480. Its totient is φ = 7835667840.

The previous prime is 22050052417. The next prime is 22050052433. The reversal of 22050052420 is 2425005022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22050052391 and 22050052400.

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, 1866091 + ... + 1877869.

It is an arithmetic number, because the mean of its divisors is an integer number (538298880).

Almost surely, 222050052420 is an apocalyptic number.

22050052420 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 22050052420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25838346240).

22050052420 is an abundant number, since it is smaller than the sum of its proper divisors (29626640060).

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

22050052420 is a wasteful number, since it uses less digits than its factorization.

22050052420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11993 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

Adding to 22050052420 its reverse (2425005022), we get a palindrome (24475057442).

The spelling of 22050052420 in words is "twenty-two billion, fifty million, fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 127 134 220 254 268 335 508 635 670 737 1270 1340 1397 1474 2540 2794 2948 3685 5588 6985 7370 8509 11779 13970 14740 17018 23558 27940 34036 42545 47116 58895 85090 93599 117790 129569 170180 187198 235580 259138 374396 467995 518276 647845 789193 935990 1295690 1495933 1578386 1871980 2591380 2991866 3156772 3945965 5983732 7479665 7891930 8681123 14959330 15783860 16455263 17362246 29918660 32910526 34724492 43405615 65821052 82276315 86811230 100227511 164552630 173622460 200455022 329105260 400910044 501137555 1002275110 1102502621 2004550220 2205005242 4410010484 5512513105 11025026210 22050052420