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2172000215 = 572112411787
BaseRepresentation
bin1000000101110110…
…0001011111010111
312121101000001011102
42001131201133113
513422013001330
6555305300315
7104552461100
oct20135413727
95541001142
102172000215
11a15045a00
1250749469b
13287ca9c38
1416866d3a7
15caa3a945
hex817617d7

2172000215 has 72 divisors (see below), whose sum is σ = 3415816656. Its totient is φ = 1320211200.

The previous prime is 2172000179. The next prime is 2172000247. The reversal of 2172000215 is 5120002712.

It is not a de Polignac number, because 2172000215 - 212 = 2171996119 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 1214552 + ... + 1216338.

It is an arithmetic number, because the mean of its divisors is an integer number (47441898).

Almost surely, 22172000215 is an apocalyptic number.

2172000215 is a deficient number, since it is larger than the sum of its proper divisors (1243816441).

2172000215 is a wasteful number, since it uses less digits than its factorization.

2172000215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 2172000215 is about 46604.7230975574. The cubic root of 2172000215 is about 1295.0502537109.

Adding to 2172000215 its reverse (5120002712), we get a palindrome (7292002927).

The spelling of 2172000215 in words is "two billion, one hundred seventy-two million, two hundred fifteen", and thus it is an aban number.

Divisors: 1 5 7 11 35 41 49 55 77 121 205 245 287 385 451 539 605 847 1435 1787 2009 2255 2695 3157 4235 4961 5929 8935 10045 12509 15785 19657 22099 24805 29645 34727 62545 73267 87563 98285 110495 137599 173635 216227 243089 366335 437815 512869 687995 805937 963193 1081135 1215445 1513589 2564345 3590083 4029685 4815965 5641559 7567945 8865307 10595123 17950415 28207795 39490913 44326535 52975615 62057149 197454565 310285745 434400043 2172000215