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2150566540 = 225378533407
BaseRepresentation
bin1000000000101111…
…0000101010001100
312112212200002200121
42000023300222030
513401021112130
6553222034324
7104202341203
oct20013605214
95485602617
102150566540
11a03a36521
125002789a4
132837140a5
1416589023a
15c8c04d7a
hex802f0a8c

2150566540 has 48 divisors (see below), whose sum is σ = 4645049472. Its totient is φ = 835750656.

The previous prime is 2150566489. The next prime is 2150566549. The reversal of 2150566540 is 456650512.

It is a super-3 number, since 3×21505665403 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2150566496 and 2150566505.

It is not an unprimeable number, because it can be changed into a prime (2150566549) 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, 629517 + ... + 632923.

It is an arithmetic number, because the mean of its divisors is an integer number (96771864).

Almost surely, 22150566540 is an apocalyptic number.

2150566540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2150566540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322524736).

2150566540 is an abundant number, since it is smaller than the sum of its proper divisors (2494482932).

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

2150566540 is a wasteful number, since it uses less digits than its factorization.

2150566540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 2150566540 is about 46374.2012330132. The cubic root of 2150566540 is about 1290.7762369425.

The spelling of 2150566540 in words is "two billion, one hundred fifty million, five hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 853 1706 3407 3412 4265 6814 8530 13628 17035 17060 31561 34070 63122 68140 126059 126244 157805 252118 315610 504236 630295 631220 1260590 2521180 2906171 5812342 11624684 14530855 29061710 58123420 107528327 215056654 430113308 537641635 1075283270 2150566540