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221032443040 = 25510611302029
BaseRepresentation
bin1100110111011010001…
…1110110110010100000
3210010112010112111100021
43031312203312302200
512110133301134130
6245312500203224
721653250523633
oct3156643666240
9703463474307
10221032443040
1185815062a32
1236a07399514
1317ac6882c46
14a9ab55bc1a
155b39b7e37a
hex33768f6ca0

221032443040 has 48 divisors (see below), whose sum is σ = 522681715080. Its totient is φ = 88329579520.

The previous prime is 221032443031. The next prime is 221032443043. The reversal of 221032443040 is 40344230122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 132673691536 + 88358751504 = 364244^2 + 297252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221032442996 and 221032443014.

It is not an unprimeable number, because it can be changed into a prime (221032443043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481255 + ... + 820774.

Almost surely, 2221032443040 is an apocalyptic number.

221032443040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221032443040 is an abundant number, since it is smaller than the sum of its proper divisors (301649272040).

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

221032443040 is a wasteful number, since it uses less digits than its factorization.

221032443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303105 (or 1303097 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 221032443040 its reverse (40344230122), we get a palindrome (261376673162).

The spelling of 221032443040 in words is "two hundred twenty-one billion, thirty-two million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1061 2122 4244 5305 8488 10610 16976 21220 33952 42440 84880 169760 1302029 2604058 5208116 6510145 10416232 13020290 20832464 26040580 41664928 52081160 104162320 208324640 1381452769 2762905538 5525811076 6907263845 11051622152 13814527690 22103244304 27629055380 44206488608 55258110760 110516221520 221032443040