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2210000201200 = 2452113491439177
BaseRepresentation
bin100000001010001110010…
…001101110010111110000
321211021101201021101120201
4200022032101232113300
5242202040022414300
64411132102044544
7315444602522431
oct40121621562760
97737351241521
102210000201200
1178228a554180
122b8390719754
1313052c61145c
1478d70b47488
153c74934e66a
hex2028e46e5f0

2210000201200 has 120 divisors (see below), whose sum is σ = 5808810243600. Its totient is φ = 801333196800.

The previous prime is 2210000201183. The next prime is 2210000201221. The reversal of 2210000201200 is 21020000122.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 816012 + ... + 2255188.

It is an arithmetic number, because the mean of its divisors is an integer number (48406752030).

Almost surely, 22210000201200 is an apocalyptic number.

2210000201200 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 2210000201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904405121800).

2210000201200 is an abundant number, since it is smaller than the sum of its proper divisors (3598810042400).

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

2210000201200 is a wasteful number, since it uses less digits than its factorization.

2210000201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439555 (or 1439544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2210000201200 its reverse (21020000122), we get a palindrome (2231020201322).

The spelling of 2210000201200 in words is "two trillion, two hundred ten billion, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 349 400 440 550 698 880 1100 1396 1745 2200 2792 3490 3839 4400 5584 6980 7678 8725 13960 15356 17450 19195 27920 30712 34900 38390 61424 69800 76780 95975 139600 153560 191950 307120 383900 767800 1439177 1535600 2878354 5756708 7195885 11513416 14391770 15830947 23026832 28783540 31661894 35979425 57567080 63323788 71958850 79154735 115134160 126647576 143917700 158309470 253295152 287835400 316618940 395773675 502272773 575670800 633237880 791547350 1004545546 1266475760 1583094700 2009091092 2511363865 3166189400 4018182184 5022727730 5525000503 6332378800 8036364368 10045455460 11050001006 12556819325 20090910920 22100002012 25113638650 27625002515 40181821840 44200004024 50227277300 55250005030 88400008048 100454554600 110500010060 138125012575 200909109200 221000020120 276250025150 442000040240 552500050300 1105000100600 2210000201200