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220001540 = 225112934483
BaseRepresentation
bin11010001110011…
…11010100000100
3120022222020101012
431013033110010
5422310022130
633455221352
75310660623
oct1507172404
9508866335
10220001540
11103204460
1261817858
133676b335
142130b6ba
15144aa995
hexd1cf504

220001540 has 48 divisors (see below), whose sum is σ = 521398080. Its totient is φ = 77239680.

The previous prime is 220001527. The next prime is 220001581. The reversal of 220001540 is 45100022.

220001540 is a modest number, since divided by 1540 gives 220 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10862 + ... + 23621.

It is an arithmetic number, because the mean of its divisors is an integer number (10862460).

Almost surely, 2220001540 is an apocalyptic number.

220001540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220001540 is an abundant number, since it is smaller than the sum of its proper divisors (301396540).

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

220001540 is a wasteful number, since it uses less digits than its factorization.

220001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34532 (or 34530 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 220001540 is about 14832.4488874899. The cubic root of 220001540 is about 603.6824822657.

Adding to 220001540 its reverse (45100022), we get a palindrome (265101562).

The spelling of 220001540 in words is "two hundred twenty million, one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 34483 68966 137932 172415 344830 379313 689660 758626 1000007 1517252 1896565 2000014 3793130 4000028 5000035 7586260 10000070 11000077 20000140 22000154 44000308 55000385 110000770 220001540