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220404022224 = 24319673607031
BaseRepresentation
bin1100110101000100011…
…0100111101111010000
3210001220100001102001020
43031101012213233100
512102341412202344
6245130251035440
721631550164161
oct3152106475720
9701810042036
10220404022224
1185522363091
1236870a3bb80
1317a266160c9
14a94bcd7768
155aee8ea719
hex33511a7bd0

220404022224 has 80 divisors (see below), whose sum is σ = 608289876480. Its totient is φ = 68562426240.

The previous prime is 220404022217. The next prime is 220404022229. The reversal of 220404022224 is 422220404022.

220404022224 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 220404022194 and 220404022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220404022229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1742412 + ... + 1864619.

It is an arithmetic number, because the mean of its divisors is an integer number (7603623456).

Almost surely, 2220404022224 is an apocalyptic number.

220404022224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220404022224 is an abundant number, since it is smaller than the sum of its proper divisors (387885854256).

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

220404022224 is a wasteful number, since it uses less digits than its factorization.

220404022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607128 (or 3607122 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 220404022224 its reverse (422220404022), we get a palindrome (642624426246).

The spelling of 220404022224 in words is "two hundred twenty billion, four hundred four million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 67 76 114 134 152 201 228 268 304 402 456 536 804 912 1072 1273 1608 2546 3216 3819 5092 7638 10184 15276 20368 30552 61104 3607031 7214062 10821093 14428124 21642186 28856248 43284372 57712496 68533589 86568744 137067178 173137488 205600767 241671077 274134356 411201534 483342154 548268712 725013231 822403068 966684308 1096537424 1450026462 1644806136 1933368616 2900052924 3289612272 3866737232 4591750463 5800105848 9183500926 11600211696 13775251389 18367001852 27550502778 36734003704 55101005556 73468007408 110202011112 220404022224