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221010000200 = 235211491204601
BaseRepresentation
bin1100110111010100111…
…0001111100101001000
3210010110120022021112222
43031311032033211020
512110112030001300
6245310335153212
721652556001623
oct3156516174510
9703416267488
10221010000200
1185803424330
12369bb975808
1317ac2025962
14a9a8598dba
155b37be9785
hex337538f948

221010000200 has 96 divisors (see below), whose sum is σ = 561706146720. Its totient is φ = 80203200000.

The previous prime is 221010000121. The next prime is 221010000209. The reversal of 221010000200 is 2000010122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (221010000209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977900 + ... + 1182500.

It is an arithmetic number, because the mean of its divisors is an integer number (5851105695).

Almost surely, 2221010000200 is an apocalyptic number.

221010000200 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 221010000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280853073360).

221010000200 is an abundant number, since it is smaller than the sum of its proper divisors (340696146520).

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

221010000200 is a wasteful number, since it uses less digits than its factorization.

221010000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205119 (or 205110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 221010000200 its reverse (2000010122), we get a palindrome (223010010322).

The spelling of 221010000200 in words is "two hundred twenty-one billion, ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 491 550 982 1100 1964 2200 2455 3928 4910 5401 9820 10802 12275 19640 21604 24550 27005 43208 49100 54010 98200 108020 135025 204601 216040 270050 409202 540100 818404 1023005 1080200 1636808 2046010 2250611 4092020 4501222 5115025 8184040 9002444 10230050 11253055 18004888 20460100 22506110 40920200 45012220 56265275 90024440 100459091 112530550 200918182 225061100 401836364 450122200 502295455 803672728 1004590910 1105050001 2009181820 2210100002 2511477275 4018363640 4420200004 5022954550 5525250005 8840400008 10045909100 11050500010 20091818200 22101000020 27626250025 44202000040 55252500050 110505000100 221010000200