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2015225740 = 2251116754851
BaseRepresentation
bin111100000011101…
…1110011110001100
312012110000002000101
41320013132132030
513111344210430
6531545140444
7100640064463
oct17007363614
95173002011
102015225740
119445a6a20
12482a8a724
13261678688
141518dd9da
15bbdbddca
hex781de78c

2015225740 has 48 divisors (see below), whose sum is σ = 4644428544. Its totient is φ = 728408000.

The previous prime is 2015225717. The next prime is 2015225741. The reversal of 2015225740 is 475225102.

It is a super-2 number, since 2×20152257402 = 8122269566317095200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2015225699 and 2015225708.

It is not an unprimeable number, because it can be changed into a prime (2015225741) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9315 + ... + 64165.

It is an arithmetic number, because the mean of its divisors is an integer number (96758928).

Almost surely, 22015225740 is an apocalyptic number.

2015225740 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 2015225740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322214272).

2015225740 is an abundant number, since it is smaller than the sum of its proper divisors (2629202804).

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

2015225740 is a wasteful number, since it uses less digits than its factorization.

2015225740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55038 (or 55036 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 2015225740 is about 44891.2657429037. The cubic root of 2015225740 is about 1263.1101757881.

The spelling of 2015225740 in words is "two billion, fifteen million, two hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 9185 18370 36740 54851 109702 219404 274255 548510 603361 1097020 1206722 2413444 3016805 6033610 9160117 12067220 18320234 36640468 45800585 91601170 100761287 183202340 201522574 403045148 503806435 1007612870 2015225740