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220221232440 = 233511166834267
BaseRepresentation
bin1100110100011000110…
…1010101010100111000
3210001102121002201121020
43031012031111110320
512102003113414230
6245100201142440
721624200406306
oct3150615252470
9701377081536
10220221232440
1185439165450
123681b78aa20
13179c77a6481
14a931915276
155add840810
hex3346355538

220221232440 has 64 divisors (see below), whose sum is σ = 720724037760. Its totient is φ = 53386965120.

The previous prime is 220221232373. The next prime is 220221232459. The reversal of 220221232440 is 44232122022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220221232440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83415814 + ... + 83418453.

It is an arithmetic number, because the mean of its divisors is an integer number (11261313090).

Almost surely, 2220221232440 is an apocalyptic number.

220221232440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221232440 is an abundant number, since it is smaller than the sum of its proper divisors (500502805320).

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

220221232440 is a wasteful number, since it uses less digits than its factorization.

220221232440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166834292 (or 166834288 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 220221232440 its reverse (44232122022), we get a palindrome (264453354462).

The spelling of 220221232440 in words is "two hundred twenty billion, two hundred twenty-one million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 166834267 333668534 500502801 667337068 834171335 1001005602 1334674136 1668342670 1835176937 2002011204 2502514005 3336685340 3670353874 4004022408 5005028010 5505530811 6673370680 7340707748 9175884685 10010056020 11011061622 14681415496 18351769370 20020112040 22022123244 27527654055 36703538740 44044246488 55055308110 73407077480 110110616220 220221232440