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2031150240 = 253257238761
BaseRepresentation
bin111100100010000…
…1110010010100000
312020112222010022200
41321010032102200
513124433301430
6533314333200
7101222330550
oct17104162240
95215863280
102031150240
11952593269
1248828a200
13264a62a62
14153a87160
15bd4b7460
hex7910e4a0

2031150240 has 288 divisors, whose sum is σ = 8266841856. Its totient is φ = 444026880.

The previous prime is 2031150211. The next prime is 2031150241. The reversal of 2031150240 is 420511302.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2031150241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227460 + ... + 236220.

It is an arithmetic number, because the mean of its divisors is an integer number (28704312).

Almost surely, 22031150240 is an apocalyptic number.

2031150240 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 2031150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133420928).

2031150240 is an abundant number, since it is smaller than the sum of its proper divisors (6235691616).

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

2031150240 is a wasteful number, since it uses less digits than its factorization.

2031150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8812 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2031150240 is about 45068.2841918793. The cubic root of 2031150240 is about 1266.4285215574.

Adding to 2031150240 its reverse (420511302), we get a palindrome (2451661542).

The spelling of 2031150240 in words is "two billion, thirty-one million, one hundred fifty thousand, two hundred forty".