Search a number
-
+
220545424372 = 227213412111129
BaseRepresentation
bin1100110101100110001…
…0000001101111110100
3210002021012010101022211
43031121202001233310
512103134112034442
6245152301503204
721635215114300
oct3153142015764
9702235111284
10220545424372
1185595162669
12368b0271b04
1317a499c4710
14a9629c4d00
155b0c02c617
hex3359881bf4

220545424372 has 72 divisors (see below), whose sum is σ = 495296431560. Its totient is φ = 85120680960.

The previous prime is 220545424361. The next prime is 220545424373. The reversal of 220545424372 is 273424545022.

220545424372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8985902436 + 211559521936 = 94794^2 + 459956^2 .

It is a super-2 number, since 2×2205454243722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220545424373) 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 23 ways as a sum of consecutive naturals, for example, 951097 + ... + 1160032.

It is an arithmetic number, because the mean of its divisors is an integer number (6879117105).

Almost surely, 2220545424372 is an apocalyptic number.

It is an amenable number.

220545424372 is an abundant number, since it is smaller than the sum of its proper divisors (274751007188).

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

220545424372 is a wasteful number, since it uses less digits than its factorization.

220545424372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111201 (or 2111192 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 40.

Adding to 220545424372 its reverse (273424545022), we get a palindrome (493969969394).

The spelling of 220545424372 in words is "two hundred twenty billion, five hundred forty-five million, four hundred twenty-four thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 41 49 52 82 91 98 164 182 196 287 364 533 574 637 1066 1148 1274 2009 2132 2548 3731 4018 7462 8036 14924 26117 52234 104468 2111129 4222258 8444516 14777903 27444677 29555806 54889354 59111612 86556289 103445321 109778708 173112578 192112739 206890642 346225156 384225478 413781284 605894023 768450956 1125231757 1211788046 1344789173 2250463514 2423576092 2689578346 4241258161 4500927028 5379156692 7876622299 8482516322 15753244598 16965032644 31506489196 55136356093 110272712186 220545424372