Search a number
-
+
215493294240 = 253557791789
BaseRepresentation
bin1100100010110001100…
…1101011100010100000
3202121020002122120200000
43020230121223202200
512012312240403430
6242555105100000
721366060531030
oct3105431534240
9677202576600
10215493294240
118343238a504
1235920327600
1317423112cc3
14a603a338c0
155913729e60
hex322c66b8a0

215493294240 has 288 divisors, whose sum is σ = 871551757440. Its totient is φ = 49255547904.

The previous prime is 215493294223. The next prime is 215493294281. The reversal of 215493294240 is 42492394512.

215493294240 is a `hidden beast` number, since 2 + 1 + 549 + 3 + 29 + 42 + 40 = 666.

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 (45).

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, 123735 + ... + 668054.

It is an arithmetic number, because the mean of its divisors is an integer number (3026221380).

Almost surely, 2215493294240 is an apocalyptic number.

215493294240 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 215493294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435775878720).

215493294240 is an abundant number, since it is smaller than the sum of its proper divisors (656058463200).

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

215493294240 is an equidigital number, since it uses as much as digits as its factorization.

215493294240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791826 (or 791806 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 215493294240 in words is "two hundred fifteen billion, four hundred ninety-three million, two hundred ninety-four thousand, two hundred forty".