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2172214905480 = 233256033930293
BaseRepresentation
bin11111100111000010000…
…110010000101010001000
321200122212101120111012200
4133213002012100222020
5241042144003433410
64341522440040200
7312636340022424
oct37470206205210
97618771514180
102172214905480
1176825a759254
122b0ba6463060
13129aba33b3c9
14771c8763b84
153b786edb3c0
hex1f9c2190a88

2172214905480 has 48 divisors (see below), whose sum is σ = 7059698443980. Its totient is φ = 579257308032.

The previous prime is 2172214905407. The next prime is 2172214905493. The reversal of 2172214905480 is 845094122712.

2172214905480 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 2 + 14 + 90 + 548 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1993230065124 + 178984840356 = 1411818^2 + 423066^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 3016964787 + ... + 3016965506.

Almost surely, 22172214905480 is an apocalyptic number.

2172214905480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2172214905480 is an abundant number, since it is smaller than the sum of its proper divisors (4887483538500).

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

2172214905480 is a wasteful number, since it uses less digits than its factorization.

2172214905480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033930310 (or 6033930303 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2172214905480 in words is "two trillion, one hundred seventy-two billion, two hundred fourteen million, nine hundred five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6033930293 12067860586 18101790879 24135721172 30169651465 36203581758 48271442344 54305372637 60339302930 72407163516 90508954395 108610745274 120678605860 144814327032 181017908790 217221490548 241357211720 271526863185 362035817580 434442981096 543053726370 724071635160 1086107452740 2172214905480