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213158208 = 2631497451
BaseRepresentation
bin11001011010010…
…00100101000000
3112212002120002110
430231020211000
5414032030313
633052415320
75165546334
oct1455104500
9485076073
10213158208
11aa35aa0a
125b477540
1335213523
14204497c4
1513aa7ec3
hexcb48940

213158208 has 56 divisors (see below), whose sum is σ = 567842400. Its totient is φ = 70566400.

The previous prime is 213158173. The next prime is 213158233. The reversal of 213158208 is 802851312.

213158208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24883 + ... + 32333.

Almost surely, 2213158208 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 213158208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283921200).

213158208 is an abundant number, since it is smaller than the sum of its proper divisors (354684192).

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

213158208 is a wasteful number, since it uses less digits than its factorization.

213158208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7615 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 213158208 is about 14599.9386300080. The cubic root of 213158208 is about 597.3570865519.

The spelling of 213158208 in words is "two hundred thirteen million, one hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 3576 4768 7152 7451 9536 14304 14902 22353 28608 29804 44706 59608 89412 119216 178824 238432 357648 476864 715296 1110199 1430592 2220398 3330597 4440796 6661194 8881592 13322388 17763184 26644776 35526368 53289552 71052736 106579104 213158208