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213415144 = 23171982591
BaseRepresentation
bin11001011100001…
…11010011101000
3112212120121112121
430232013103220
5414113241034
633102121024
75200666405
oct1456072350
9485517477
10213415144
11aa515a58
125b580174
13352a3467
14204b52ac
1513b091b4
hexcb874e8

213415144 has 32 divisors (see below), whose sum is σ = 445996800. Its totient is φ = 95143680.

The previous prime is 213415141. The next prime is 213415157. The reversal of 213415144 is 441514312.

213415144 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 (213415141) 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, 38712 + ... + 43879.

It is an arithmetic number, because the mean of its divisors is an integer number (13937400).

Almost surely, 2213415144 is an apocalyptic number.

It is an amenable number.

213415144 is an abundant number, since it is smaller than the sum of its proper divisors (232581656).

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

213415144 is a wasteful number, since it uses less digits than its factorization.

213415144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82633 (or 82629 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 213415144 is about 14608.7351950811. The cubic root of 213415144 is about 597.5970036773.

Adding to 213415144 its reverse (441514312), we get a palindrome (654929456).

The spelling of 213415144 in words is "two hundred thirteen million, four hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 19 34 38 68 76 136 152 323 646 1292 2584 82591 165182 330364 660728 1404047 1569229 2808094 3138458 5616188 6276916 11232376 12553832 26676893 53353786 106707572 213415144