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2150214480 = 243252986409
BaseRepresentation
bin1000000000101001…
…1010101101010000
312112212000012202100
42000022122231100
513400423330410
6553210320400
7104166343611
oct20012325520
95485005670
102150214480
11a03815a67
12500129100
1328361ca7b
141657dbc08
15c8b858c0
hex8029ab50

2150214480 has 60 divisors (see below), whose sum is σ = 7221139380. Its totient is φ = 573390336.

The previous prime is 2150214463. The next prime is 2150214497. The reversal of 2150214480 is 844120512.

2150214480 is a `hidden beast` number, since 215 + 0 + 2 + 1 + 448 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2150214463) and next prime (2150214497).

It can be written as a sum of positive squares in 2 ways, for example, as 934158096 + 1216056384 = 30564^2 + 34872^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1492485 + ... + 1493924.

It is an arithmetic number, because the mean of its divisors is an integer number (120352323).

Almost surely, 22150214480 is an apocalyptic number.

2150214480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2150214480 is an abundant number, since it is smaller than the sum of its proper divisors (5070924900).

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

2150214480 is a wasteful number, since it uses less digits than its factorization.

2150214480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986428 (or 2986419 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2150214480 is about 46370.4052171210. The cubic root of 2150214480 is about 1290.7057972896.

Adding to 2150214480 its reverse (844120512), we get a palindrome (2994334992).

The spelling of 2150214480 in words is "two billion, one hundred fifty million, two hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2986409 5972818 8959227 11945636 14932045 17918454 23891272 26877681 29864090 35836908 44796135 47782544 53755362 59728180 71673816 89592270 107510724 119456360 134388405 143347632 179184540 215021448 238912720 268776810 358369080 430042896 537553620 716738160 1075107240 2150214480