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221201400 = 23352752667
BaseRepresentation
bin11010010111101…
…00001111111000
3120102020012021110
431023310033320
5423111421100
633541040320
75324116020
oct1513641770
9512205243
10221201400
11103953982
12620b60a0
1336a9b504
1421540a80
1514646250
hexd2f43f8

221201400 has 96 divisors (see below), whose sum is σ = 783699840. Its totient is φ = 50559360.

The previous prime is 221201369. The next prime is 221201447. The reversal of 221201400 is 4102122.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 22134 + ... + 30533.

It is an arithmetic number, because the mean of its divisors is an integer number (8163540).

Almost surely, 2221201400 is an apocalyptic number.

221201400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201400 is an abundant number, since it is smaller than the sum of its proper divisors (562498440).

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

221201400 is a wasteful number, since it uses less digits than its factorization.

221201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52693 (or 52684 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221201400 is about 14872.8410197917. The cubic root of 221201400 is about 604.7779619150. Note that the first 3 decimals are identical.

Adding to 221201400 its reverse (4102122), we get a palindrome (225303522).

The spelling of 221201400 in words is "two hundred twenty-one million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 52667 105334 158001 210668 263335 316002 368669 421336 526670 632004 737338 790005 1053340 1106007 1264008 1316675 1474676 1580010 1843345 2106680 2212014 2633350 2949352 3160020 3686690 3950025 4424028 5266700 5530035 6320040 7373380 7900050 8848056 9216725 10533400 11060070 14746760 15800100 18433450 22120140 27650175 31600200 36866900 44240280 55300350 73733800 110600700 221201400