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213154452 = 223277311587
BaseRepresentation
bin11001011010001…
…11101010010100
3112212002100221100
430231013222110
5414031420302
633052350100
75165532360
oct1455075224
9485070840
10213154452
11aa358105
125b475330
13352118c4
14204482a0
1513aa6d1c
hexcb47a94

213154452 has 72 divisors (see below), whose sum is σ = 624268736. Its totient is φ = 60061824.

The previous prime is 213154441. The next prime is 213154457. The reversal of 213154452 is 254451312.

213154452 is a `hidden beast` number, since 213 + 1 + 5 + 445 + 2 = 666.

213154452 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213154457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12603 + ... + 24189.

Almost surely, 2213154452 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 213154452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312134368).

213154452 is an abundant number, since it is smaller than the sum of its proper divisors (411114284).

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

213154452 is a wasteful number, since it uses less digits than its factorization.

213154452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11677 (or 11672 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 213154452 is about 14599.8099987637. The cubic root of 213154452 is about 597.3535779117.

The spelling of 213154452 in words is "two hundred thirteen million, one hundred fifty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 6132 9198 11587 18396 23174 34761 46348 69522 81109 104283 139044 162218 208566 243327 324436 417132 486654 729981 845851 973308 1459962 1691702 2537553 2919924 3383404 5075106 5920957 7612659 10150212 11841914 15225318 17762871 23683828 30450636 35525742 53288613 71051484 106577226 213154452