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211013088 = 253111319809
BaseRepresentation
bin11001001001111…
…00110111100000
3112201001120112120
430210330313200
5413004404323
632534424240
75141403336
oct1444746740
9481046476
10211013088
11a9125290
125a802080
1334942020
142004bb56
15137d25e3
hexc93cde0

211013088 has 192 divisors, whose sum is σ = 685843200. Its totient is φ = 55848960.

The previous prime is 211013059. The next prime is 211013119. The reversal of 211013088 is 880310112.

211013088 is digitally balanced in base 2, 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260428 + ... + 261236.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2211013088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211013088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342921600).

211013088 is an abundant number, since it is smaller than the sum of its proper divisors (474830112).

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

211013088 is a wasteful number, since it uses less digits than its factorization.

211013088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 211013088 is about 14526.2895468871. The cubic root of 211013088 is about 595.3464902755.

The spelling of 211013088 in words is "two hundred eleven million, thirteen thousand, eighty-eight".