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2155414440 = 233527316577
BaseRepresentation
bin1000000001111001…
…0000001110101000
312120012210101202110
42000132100032220
513403241230230
6553514002320
7104261502054
oct20036201650
95505711673
102155414440
11a06747853
12501a163a0
1328472087a
14166392c64
15c93614b0
hex807903a8

2155414440 has 64 divisors (see below), whose sum is σ = 6469594560. Its totient is φ = 574479360.

The previous prime is 2155414381. The next prime is 2155414447. The reversal of 2155414440 is 444145512.

It is a super-2 number, since 2×21554144402 = 9291622816321027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2155414398 and 2155414407.

It is not an unprimeable number, because it can be changed into a prime (2155414447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 324432 + ... + 331008.

It is an arithmetic number, because the mean of its divisors is an integer number (101087415).

Almost surely, 22155414440 is an apocalyptic number.

2155414440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2155414440 is an abundant number, since it is smaller than the sum of its proper divisors (4314180120).

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

2155414440 is a wasteful number, since it uses less digits than its factorization.

2155414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 2155414440 is about 46426.4411731074. The cubic root of 2155414440 is about 1291.7454169029.

Adding to 2155414440 its reverse (444145512), we get a palindrome (2599559952).

The spelling of 2155414440 in words is "two billion, one hundred fifty-five million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2731 5462 6577 8193 10924 13154 13655 16386 19731 21848 26308 27310 32772 32885 39462 40965 52616 54620 65544 65770 78924 81930 98655 109240 131540 157848 163860 197310 263080 327720 394620 789240 17961787 35923574 53885361 71847148 89808935 107770722 143694296 179617870 215541444 269426805 359235740 431082888 538853610 718471480 1077707220 2155414440