Search a number
-
+
2172000219 = 319435091741
BaseRepresentation
bin1000000101110110…
…0001011111011011
312121101000001011120
42001131201133123
513422013001334
6555305300323
7104552461104
oct20135413733
95541001146
102172000219
11a15045a04
125074946a3
13287ca9c3c
1416866d3ab
15caa3a949
hex817617db

2172000219 has 32 divisors (see below), whose sum is σ = 3127238400. Its totient is φ = 1336487040.

The previous prime is 2172000179. The next prime is 2172000247. The reversal of 2172000219 is 9120002712.

It is not a de Polignac number, because 2172000219 - 27 = 2172000091 is a prime.

It is a super-2 number, since 2×21720002192 = 9435169902672095922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2172000289) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1246689 + ... + 1248429.

It is an arithmetic number, because the mean of its divisors is an integer number (97726200).

Almost surely, 22172000219 is an apocalyptic number.

2172000219 is a deficient number, since it is larger than the sum of its proper divisors (955238181).

2172000219 is a wasteful number, since it uses less digits than its factorization.

2172000219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 2172000219 is about 46604.7231404715. The cubic root of 2172000219 is about 1295.0502545059.

The spelling of 2172000219 in words is "two billion, one hundred seventy-two million, two hundred nineteen", and thus it is an aban number.

Divisors: 1 3 19 43 57 129 509 817 1527 1741 2451 5223 9671 21887 29013 33079 65661 74863 99237 224589 415853 886169 1247559 1422397 2658507 4267191 16837211 38105267 50511633 114315801 724000073 2172000219