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8012205540 = 22325214320771
BaseRepresentation
bin1110111011001000…
…01000110111100100
3202200101101012202100
413131210020313210
5112402111034130
63403013212100
7402356423553
oct73544106744
922611335670
108012205540
113441754679
121677331030
139a8c27831
14560163d9a
1531d60bc60
hex1dd908de4

8012205540 has 72 divisors (see below), whose sum is σ = 24316201728. Its totient is φ = 2135488320.

The previous prime is 8012205499. The next prime is 8012205581. The reversal of 8012205540 is 455022108.

It is a happy number.

8012205540 is a `hidden beast` number, since 80 + 12 + 20 + 554 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8012205499) and next prime (8012205581).

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, 375355 + ... + 396125.

It is an arithmetic number, because the mean of its divisors is an integer number (337725024).

Almost surely, 28012205540 is an apocalyptic number.

It is an amenable number.

8012205540 is an abundant number, since it is smaller than the sum of its proper divisors (16303996188).

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

8012205540 is a wasteful number, since it uses less digits than its factorization.

8012205540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22929 (or 22924 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 8012205540 is about 89510.9241377833. The cubic root of 8012205540 is about 2001.0166114963.

Adding to 8012205540 its reverse (455022108), we get a palindrome (8467227648).

The spelling of 8012205540 in words is "eight billion, twelve million, two hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2143 4286 6429 8572 10715 12858 19287 20771 21430 25716 32145 38574 41542 42860 62313 64290 77148 83084 96435 103855 124626 128580 186939 192870 207710 249252 311565 373878 385740 415420 623130 747756 934695 1246260 1869390 3738780 44512253 89024506 133536759 178049012 222561265 267073518 400610277 445122530 534147036 667683795 801220554 890245060 1335367590 1602441108 2003051385 2670735180 4006102770 8012205540