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213729894 = 2337743761
BaseRepresentation
bin11001011110101…
…00001001100110
3112220011121022000
430233110021212
5414203324034
633112550130
75203450140
oct1457241146
9486147260
10213729894
11aa710484
125b6b2346
13353837c1
1420557c90
1513b6c599
hexcbd4266

213729894 has 64 divisors (see below), whose sum is σ = 544250880. Its totient is φ = 60903360.

The previous prime is 213729889. The next prime is 213729907. The reversal of 213729894 is 498927312.

213729894 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280474 + ... + 281234.

It is an arithmetic number, because the mean of its divisors is an integer number (8503920).

Almost surely, 2213729894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213729894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272125440).

213729894 is an abundant number, since it is smaller than the sum of its proper divisors (330520986).

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

213729894 is a wasteful number, since it uses less digits than its factorization.

213729894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1516 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 213729894 is about 14619.5038903514. The cubic root of 213729894 is about 597.8906430455.

The spelling of 213729894 in words is "two hundred thirteen million, seven hundred twenty-nine thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 743 761 1486 1522 2229 2283 4458 4566 5201 5327 6687 6849 10402 10654 13374 13698 15603 15981 20061 20547 31206 31962 40122 41094 46809 47943 93618 95886 140427 143829 280854 287658 565423 1130846 1696269 3392538 3957961 5088807 7915922 10177614 11873883 15266421 23747766 30532842 35621649 71243298 106864947 213729894