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21422303320 = 23511834311361
BaseRepresentation
bin10011111100110111…
…100110100001011000
32001021221211202121111
4103330313212201120
5322333102201240
613501414150104
71355602400545
oct237467464130
961257752544
1021422303320
1190a3371610
12419a352334
132035265032
141073161bcc
15855a691ea
hex4fcde6858

21422303320 has 128 divisors (see below), whose sum is σ = 53378196480. Its totient is φ = 7672576000.

The previous prime is 21422303311. The next prime is 21422303341. The reversal of 21422303320 is 2330322412.

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 = 21422303291 and 21422303300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15739440 + ... + 15740800.

It is an arithmetic number, because the mean of its divisors is an integer number (417017160).

Almost surely, 221422303320 is an apocalyptic number.

21422303320 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 21422303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26689098240).

21422303320 is an abundant number, since it is smaller than the sum of its proper divisors (31955893160).

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

21422303320 is a wasteful number, since it uses less digits than its factorization.

21422303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21422303320 its reverse (2330322412), we get a palindrome (23752625732).

The spelling of 21422303320 in words is "twenty-one billion, four hundred twenty-two million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 431 440 664 830 862 913 1361 1660 1724 1826 2155 2722 3320 3448 3652 4310 4565 4741 5444 6805 7304 8620 9130 9482 10888 13610 14971 17240 18260 18964 23705 27220 29942 35773 36520 37928 47410 54440 59884 71546 74855 94820 112963 119768 143092 149710 178865 189640 225926 286184 299420 357730 393503 451852 564815 586591 598840 715460 787006 903704 1129630 1173182 1242593 1430920 1574012 1967515 2259260 2346364 2485186 2932955 3148024 3935030 4518520 4692728 4970372 5865910 6212965 6452501 7870060 9940744 11731820 12425930 12905002 15740120 23463640 24851860 25810004 32262505 48687053 49703720 51620008 64525010 97374106 129050020 194748212 243435265 258100040 389496424 486870530 535557583 973741060 1071115166 1947482120 2142230332 2677787915 4284460664 5355575830 10711151660 21422303320