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2187082240 = 2957312127
BaseRepresentation
bin1000001001011100…
…0011101000000000
312122102101021210221
42002113003220000
513434343112430
61001004432424
7105124615030
oct20227035000
95572337727
102187082240
11a22607292
12510548714
1328b15aa05
1416a6778c0
15cc01957a
hex825c3a00

2187082240 has 240 divisors, whose sum is σ = 6241314816. Its totient is φ = 719953920.

The previous prime is 2187082217. The next prime is 2187082253. The reversal of 2187082240 is 422807812.

It is a junction number, because it is equal to n+sod(n) for n = 2187082196 and 2187082205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17221057 + ... + 17221183.

Almost surely, 22187082240 is an apocalyptic number.

2187082240 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 2187082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120657408).

2187082240 is an abundant number, since it is smaller than the sum of its proper divisors (4054232576).

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

2187082240 is an equidigital number, since it uses as much as digits as its factorization.

2187082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 2187082240 is about 46766.2510791703. The cubic root of 2187082240 is about 1298.0408833889.

The spelling of 2187082240 in words is "two billion, one hundred eighty-seven million, eighty-two thousand, two hundred forty".