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215196240 = 24357229631
BaseRepresentation
bin11001101001110…
…10001001010000
3112222221002202010
430310322021100
5420042234430
633204222520
75222065200
oct1464721120
9488832663
10215196240
11100522136
126009aa40
133577806c
142081a400
1513d5bcb0
hexcd3a250

215196240 has 240 divisors, whose sum is σ = 804055680. Its totient is φ = 47416320.

The previous prime is 215196239. The next prime is 215196253. The reversal of 215196240 is 42691512.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 215196198 and 215196207.

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, 340725 + ... + 341355.

It is an arithmetic number, because the mean of its divisors is an integer number (3350232).

Almost surely, 2215196240 is an apocalyptic number.

215196240 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 215196240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402027840).

215196240 is an abundant number, since it is smaller than the sum of its proper divisors (588859440).

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

215196240 is a wasteful number, since it uses less digits than its factorization.

215196240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 215196240 is about 14669.5685008115. The cubic root of 215196240 is about 599.2548527535.

The spelling of 215196240 in words is "two hundred fifteen million, one hundred ninety-six thousand, two hundred forty".