Search a number
-
+
213061552 = 24111796763
BaseRepresentation
bin11001011001100…
…00111110110000
3112211220122111121
430230300332300
5414020432202
633050352024
75164664464
oct1454607660
9484818447
10213061552
11aa2a4330
125b42b614
13351ab532
14204224a4
1513a89537
hexcb30fb0

213061552 has 40 divisors (see below), whose sum is σ = 452917440. Its totient is φ = 96290880.

The previous prime is 213061549. The next prime is 213061553. The reversal of 213061552 is 255160312.

213061552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213061553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28123 + ... + 34885.

It is an arithmetic number, because the mean of its divisors is an integer number (11322936).

Almost surely, 2213061552 is an apocalyptic number.

213061552 is a gapful number since it is divisible by the number (22) 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 213061552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226458720).

213061552 is an abundant number, since it is smaller than the sum of its proper divisors (239855888).

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

213061552 is a wasteful number, since it uses less digits than its factorization.

213061552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6961 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 213061552 is about 14596.6281037779. The cubic root of 213061552 is about 597.2667829282.

The spelling of 213061552 in words is "two hundred thirteen million, sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 179 358 716 1432 1969 2864 3938 6763 7876 13526 15752 27052 31504 54104 74393 108208 148786 297572 595144 1190288 1210577 2421154 4842308 9684616 13316347 19369232 26632694 53265388 106530776 213061552