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2240452080 = 2432523193701
BaseRepresentation
bin1000010110001010…
…1001010111110000
312210010210202110200
42011202221113300
514042023431310
61010152355200
7106343346156
oct20542512760
95703722420
102240452080
11a4a749899
125263a5b00
13299225bb9
141737ab3d6
15d1a5c9c0
hex858a95f0

2240452080 has 240 divisors, whose sum is σ = 7903262016. Its totient is φ = 567705600.

The previous prime is 2240452069. The next prime is 2240452099. The reversal of 2240452080 is 802540422.

It is a happy number.

2240452080 is a `hidden beast` number, since 22 + 40 + 4 + 520 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3195730 + ... + 3196430.

Almost surely, 22240452080 is an apocalyptic number.

2240452080 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 2240452080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951631008).

2240452080 is an abundant number, since it is smaller than the sum of its proper divisors (5662809936).

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

2240452080 is a wasteful number, since it uses less digits than its factorization.

2240452080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2240452080 is about 47333.4139905416. The cubic root of 2240452080 is about 1308.5145409912.

The spelling of 2240452080 in words is "two billion, two hundred forty million, four hundred fifty-two thousand, eighty".