Search a number
-
+
21022222000 = 2453136131319
BaseRepresentation
bin10011100101000001…
…011010011010110000
32000021002000112012211
4103211001122122300
5321023142101000
613354003101504
71342643636653
oct234501323260
960232015184
1021022222000
118a0855059a
1240a8371894
131ca03c5720
141035d7989a
1583088b7ba
hex4e505a6b0

21022222000 has 160 divisors (see below), whose sum is σ = 54872737920. Its totient is φ = 7743513600.

The previous prime is 21022221923. The next prime is 21022222007. The reversal of 21022222000 is 22222012.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (21022222007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15937341 + ... + 15938659.

It is an arithmetic number, because the mean of its divisors is an integer number (342954612).

Almost surely, 221022222000 is an apocalyptic number.

21022222000 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 21022222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27436368960).

21022222000 is an abundant number, since it is smaller than the sum of its proper divisors (33850515920).

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

21022222000 is a wasteful number, since it uses less digits than its factorization.

21022222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 21022222000 its reverse (22222012), we get a palindrome (21044444012).

The spelling of 21022222000 in words is "twenty-one billion, twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 613 650 1000 1040 1226 1300 1319 1625 2000 2452 2600 2638 3065 3250 4904 5200 5276 6130 6500 6595 7969 9808 10552 12260 13000 13190 15325 15938 17147 21104 24520 26000 26380 30650 31876 32975 34294 39845 49040 52760 61300 63752 65950 68588 76625 79690 85735 105520 122600 127504 131900 137176 153250 159380 164875 171470 199225 245200 263800 274352 306500 318760 329750 342940 398450 428675 527600 613000 637520 659500 685880 796900 808547 857350 996125 1226000 1319000 1371760 1593800 1617094 1714700 1992250 2143375 2638000 3187600 3234188 3429400 3984500 4042735 4286750 6468376 6858800 7969000 8085470 8573500 10511111 12936752 15938000 16170940 17147000 20213675 21022222 32341880 34294000 40427350 42044444 52555555 64683760 80854700 84088888 101068375 105111110 161709400 168177776 202136750 210222220 262777775 323418800 404273500 420444440 525555550 808547000 840888880 1051111100 1313888875 1617094000 2102222200 2627777750 4204444400 5255555500 10511111000 21022222000