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221440201300 = 225231653109391
BaseRepresentation
bin1100111000111011011…
…1010101001001010100
3210011120112210202112001
43032032313111021110
512112002142420200
6245421144005044
721666331440343
oct3161667251124
9704515722461
10221440201300
1185a0424782a
1236abba60784
1317b601ac916
14aa09781b5a
155b6087676a
hex338edd5254

221440201300 has 72 divisors (see below), whose sum is σ = 496790203392. Its totient is φ = 85586736000.

The previous prime is 221440201291. The next prime is 221440201373. The reversal of 221440201300 is 3102044122.

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, 1969605 + ... + 2078995.

It is an arithmetic number, because the mean of its divisors is an integer number (6899863936).

Almost surely, 2221440201300 is an apocalyptic number.

221440201300 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 221440201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248395101696).

221440201300 is an abundant number, since it is smaller than the sum of its proper divisors (275350002092).

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

221440201300 is a wasteful number, since it uses less digits than its factorization.

221440201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110089 (or 110082 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 221440201300 its reverse (3102044122), we get a palindrome (224542245422).

It can be divided in two parts, 221440 and 201300, that added together give a triangular number (422740 = T919).

The spelling of 221440201300 in words is "two hundred twenty-one billion, four hundred forty million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 653 775 1306 1550 2612 3100 3265 6530 13060 16325 20243 32650 40486 65300 80972 101215 109391 202430 218782 404860 437564 506075 546955 1012150 1093910 2024300 2187820 2734775 3391121 5469550 6782242 10939100 13564484 16955605 33911210 67822420 71432323 84778025 142864646 169556050 285729292 339112100 357161615 714323230 1428646460 1785808075 2214402013 3571616150 4428804026 7143232300 8857608052 11072010065 22144020130 44288040260 55360050325 110720100650 221440201300