Search a number
-
+
4145432220 = 2232531742909
BaseRepresentation
bin1111011100010110…
…0100011010011100
3101200220100202221200
43313011210122130
531442212312340
61523202555500
7204504410136
oct36705443234
911626322850
104145432220
111837a96646
12978368b90
13510ab1497
142b47b0056
15193e01330
hexf716469c

4145432220 has 72 divisors (see below), whose sum is σ = 12980123520. Its totient is φ = 1069787520.

The previous prime is 4145432219. The next prime is 4145432237. The reversal of 4145432220 is 222345414.

4145432220 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 432 + 220 = 666.

It is a super-2 number, since 2×41454322202 = 34369216581228256800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 365875 + ... + 377034.

Almost surely, 24145432220 is an apocalyptic number.

It is an amenable number.

4145432220 is an abundant number, since it is smaller than the sum of its proper divisors (8834691300).

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

4145432220 is a wasteful number, since it uses less digits than its factorization.

4145432220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742955 (or 742950 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4145432220 is about 64385.0310242994. The cubic root of 4145432220 is about 1606.4107664691.

Adding to 4145432220 its reverse (222345414), we get a palindrome (4367777634).

The spelling of 4145432220 in words is "four billion, one hundred forty-five million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 742909 1485818 2228727 2971636 3714545 4457454 6686181 7429090 8914908 11143635 13372362 14858180 22287270 23030179 26744724 33430905 44574540 46060358 66861810 69090537 92120716 115150895 133723620 138181074 207271611 230301790 276362148 345452685 414543222 460603580 690905370 829086444 1036358055 1381810740 2072716110 4145432220