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22300000200 = 23325289139201
BaseRepresentation
bin10100110001001011…
…101111111111001000
32010120010101101101100
4110301023233333020
5331132300001300
614124450221400
71416420605562
oct246113577710
963503341340
1022300000200
119503850235
1243a4284860
13214504cbba
141117954332
158a7b3c700
hex5312effc8

22300000200 has 144 divisors (see below), whose sum is σ = 75732848100. Its totient is φ = 5879808000.

The previous prime is 22300000193. The next prime is 22300000211. The reversal of 22300000200 is 200000322.

It can be written as a sum of positive squares in 6 ways, for example, as 2643399396 + 19656600804 = 51414^2 + 140202^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90600 + ... + 229800.

Almost surely, 222300000200 is an apocalyptic number.

22300000200 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 22300000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37866424050).

22300000200 is an abundant number, since it is smaller than the sum of its proper divisors (53432847900).

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

22300000200 is a wasteful number, since it uses less digits than its factorization.

22300000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139312 (or 139300 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 22300000200 its reverse (200000322), we get a palindrome (22500000522).

The spelling of 22300000200 in words is "twenty-two billion, three hundred million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 89 90 100 120 150 178 180 200 225 267 300 356 360 445 450 534 600 712 801 890 900 1068 1335 1602 1780 1800 2136 2225 2670 3204 3560 4005 4450 5340 6408 6675 8010 8900 10680 13350 16020 17800 20025 26700 32040 40050 53400 80100 139201 160200 278402 417603 556804 696005 835206 1113608 1252809 1392010 1670412 2088015 2505618 2784020 3340824 3480025 4176030 5011236 5568040 6264045 6960050 8352060 10022472 10440075 12388889 12528090 13920100 16704120 20880150 24777778 25056180 27840200 31320225 37166667 41760300 49555556 50112360 61944445 62640450 74333334 83520600 99111112 111500001 123888890 125280900 148666668 185833335 223000002 247777780 250561800 297333336 309722225 371666670 446000004 495555560 557500005 619444450 743333340 892000008 929166675 1115000010 1238888900 1486666680 1858333350 2230000020 2477777800 2787500025 3716666700 4460000040 5575000050 7433333400 11150000100 22300000200