Search a number
-
+
21022223200 = 25521119125731
BaseRepresentation
bin10011100101000001…
…011010101101100000
32000021002000120212021
4103211001122231200
5321023142120300
613354003111224
71342643643316
oct234501325540
960232016767
1021022223200
118a08551490
1240a8372514
131ca03c6134
141035d7a0b6
1583088bd1a
hex4e505ab60

21022223200 has 144 divisors (see below), whose sum is σ = 58933103040. Its totient is φ = 7242048000.

The previous prime is 21022223111. The next prime is 21022223249. The reversal of 21022223200 is 232222012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104335 + ... + 230065.

It is an arithmetic number, because the mean of its divisors is an integer number (409257660).

Almost surely, 221022223200 is an apocalyptic number.

21022223200 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 21022223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29466551520).

21022223200 is an abundant number, since it is smaller than the sum of its proper divisors (37910879840).

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

21022223200 is a wasteful number, since it uses less digits than its factorization.

21022223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125781 (or 125768 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 21022223200 its reverse (232222012), we get a palindrome (21254445212).

The spelling of 21022223200 in words is "twenty-one billion, twenty-two million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 76 80 88 95 100 110 152 160 176 190 200 209 220 275 304 352 380 400 418 440 475 550 608 760 800 836 880 950 1045 1100 1520 1672 1760 1900 2090 2200 3040 3344 3800 4180 4400 5225 6688 7600 8360 8800 10450 15200 16720 20900 33440 41800 83600 125731 167200 251462 502924 628655 1005848 1257310 1383041 2011696 2388889 2514620 2766082 3143275 4023392 4777778 5029240 5532164 6286550 6915205 9555556 10058480 11064328 11944445 12573100 13830410 19111112 20116960 22128656 23888890 25146200 26277779 27660820 34576025 38222224 44257312 47777780 50292400 52555558 55321640 59722225 69152050 76444448 95555560 100584800 105111116 110643280 119444450 131388895 138304100 191111120 210222232 221286560 238888900 262777790 276608200 382222240 420444464 477777800 525555580 553216400 656944475 840888928 955555600 1051111160 1106432800 1313888950 1911111200 2102222320 2627777900 4204444640 5255555800 10511111600 21022223200