Search a number
-
+
221144313340 = 225174115864011
BaseRepresentation
bin1100110111110100111…
…0100110110111111100
3210010210221001002112201
43031331032212313330
512110400421011330
6245331534041244
721656106435256
oct3157516466774
9703727032481
10221144313340
1185872221825
1236a38949224
1317b13ac16a2
14a9bc35ccd6
155b448caeca
hex337d3a6dfc

221144313340 has 48 divisors (see below), whose sum is σ = 503714109024. Its totient is φ = 81223731200.

The previous prime is 221144313319. The next prime is 221144313347. The reversal of 221144313340 is 43313441122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221144313299 and 221144313308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221144313347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7918066 + ... + 7945945.

It is an arithmetic number, because the mean of its divisors is an integer number (10494043938).

Almost surely, 2221144313340 is an apocalyptic number.

221144313340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221144313340 is an abundant number, since it is smaller than the sum of its proper divisors (282569795684).

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

221144313340 is a wasteful number, since it uses less digits than its factorization.

221144313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15864078 (or 15864076 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 221144313340 its reverse (43313441122), we get a palindrome (264457754462).

The spelling of 221144313340 in words is "two hundred twenty-one billion, one hundred forty-four million, three hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 15864011 31728022 63456044 79320055 158640110 269688187 317280220 539376374 650424451 1078752748 1300848902 1348440935 2601697804 2696881870 3252122255 5393763740 6504244510 11057215667 13008489020 22114431334 44228862668 55286078335 110572156670 221144313340