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221420340 = 223252275419
BaseRepresentation
bin11010011001010…
…01101100110100
3120102122022121100
431030221230310
5423140422330
633545450100
75326020231
oct1514515464
9512568540
10221420340
11103a93419
12621a0930
1336b4706b
142159a788
151468b060
hexd329b34

221420340 has 72 divisors (see below), whose sum is σ = 674724960. Its totient is φ = 58774464.

The previous prime is 221420323. The next prime is 221420347. The reversal of 221420340 is 43024122.

221420340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221420347) 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, 38151 + ... + 43569.

It is an arithmetic number, because the mean of its divisors is an integer number (9371180).

Almost surely, 2221420340 is an apocalyptic number.

221420340 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 221420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337362480).

221420340 is an abundant number, since it is smaller than the sum of its proper divisors (453304620).

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

221420340 is a wasteful number, since it uses less digits than its factorization.

221420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221420340 is about 14880.1995954355. The cubic root of 221420340 is about 604.9774278399.

Adding to 221420340 its reverse (43024122), we get a palindrome (264444462).

The spelling of 221420340 in words is "two hundred twenty-one million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 454 681 908 1135 1362 2043 2270 2724 3405 4086 4540 5419 6810 8172 10215 10838 13620 16257 20430 21676 27095 32514 40860 48771 54190 65028 81285 97542 108380 162570 195084 243855 325140 487710 975420 1230113 2460226 3690339 4920452 6150565 7380678 11071017 12301130 14761356 18451695 22142034 24602260 36903390 44284068 55355085 73806780 110710170 221420340