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2014225440 = 25354196303
BaseRepresentation
bin111100000001110…
…1010010000100000
312012101010020212020
41320003222100200
513111120203230
6531511501440
7100625430243
oct17003522040
95171106766
102014225440
11943a83427
12482687880
132613b8296
1415171d25a
15bbc72810
hex780ea420

2014225440 has 48 divisors (see below), whose sum is σ = 6344811648. Its totient is φ = 537126656.

The previous prime is 2014225439. The next prime is 2014225469. The reversal of 2014225440 is 445224102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2014225440.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2097672 + ... + 2098631.

It is an arithmetic number, because the mean of its divisors is an integer number (132183576).

Almost surely, 22014225440 is an apocalyptic number.

2014225440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014225440 is an abundant number, since it is smaller than the sum of its proper divisors (4330586208).

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

2014225440 is a wasteful number, since it uses less digits than its factorization.

2014225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196321 (or 4196313 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2014225440 is about 44880.1229944839. The cubic root of 2014225440 is about 1262.9011506990.

Adding to 2014225440 its reverse (445224102), we get a palindrome (2459449542).

The spelling of 2014225440 in words is "two billion, fourteen million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4196303 8392606 12588909 16785212 20981515 25177818 33570424 41963030 50355636 62944545 67140848 83926060 100711272 125889090 134281696 167852120 201422544 251778180 335704240 402845088 503556360 671408480 1007112720 2014225440