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215088048 = 2435721129
BaseRepresentation
bin11001101000111…
…11101110110000
3112222201121100000
430310133232300
5420030304143
633202030000
75221134600
oct1464375660
9488647300
10215088048
1110045891a
1260048300
133573aa46
14207ccc00
1513d39bd3
hexcd1fbb0

215088048 has 180 divisors, whose sum is σ = 726802440. Its totient is φ = 61399296.

The previous prime is 215088047. The next prime is 215088059. The reversal of 215088048 is 840880512.

215088048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (215088047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189948 + ... + 191076.

Almost surely, 2215088048 is an apocalyptic number.

215088048 is a gapful number since it is divisible by the number (28) 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 215088048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363401220).

215088048 is an abundant number, since it is smaller than the sum of its proper divisors (511714392).

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

215088048 is a wasteful number, since it uses less digits than its factorization.

215088048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 215088048 is about 14665.8804031671. The cubic root of 215088048 is about 599.1544088525.

The spelling of 215088048 in words is "two hundred fifteen million, eighty-eight thousand, forty-eight".