Search a number
-
+
221232444440 = 2357790115873
BaseRepresentation
bin1100111000001001111…
…0110011010000011000
3210011001001212121200112
43032002132303100120
512111041001210230
6245344403023452
721661226515250
oct3160236632030
9704031777615
10221232444440
1185907a46a47
1236a6236ab88
1317b2913aa77
14a9c9d40960
155b4c4d8d95
hex33827b3418

221232444440 has 32 divisors (see below), whose sum is σ = 568883429280. Its totient is φ = 75851123712.

The previous prime is 221232444421. The next prime is 221232444469. The reversal of 221232444440 is 44444232122.

It is a junction number, because it is equal to n+sod(n) for n = 221232444397 and 221232444406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395057657 + ... + 395058216.

It is an arithmetic number, because the mean of its divisors is an integer number (17777607165).

Almost surely, 2221232444440 is an apocalyptic number.

221232444440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221232444440 is an abundant number, since it is smaller than the sum of its proper divisors (347650984840).

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

221232444440 is a wasteful number, since it uses less digits than its factorization.

221232444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790115891 (or 790115887 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 221232444440 its reverse (44444232122), we get a palindrome (265676676562).

The spelling of 221232444440 in words is "two hundred twenty-one billion, two hundred thirty-two million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 790115873 1580231746 3160463492 3950579365 5530811111 6320926984 7901158730 11061622222 15802317460 22123244444 27654055555 31604634920 44246488888 55308111110 110616222220 221232444440