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213535056 = 2437718951
BaseRepresentation
bin11001011101001…
…00100101010000
3112212210201000210
430232210211100
5414131110211
633104444120
75202006120
oct1456444520
9485721023
10213535056
11aa598059
125b619640
1335315c07
1420506c80
1513b2e9a6
hexcba4950

213535056 has 80 divisors (see below), whose sum is σ = 639387648. Its totient is φ = 60144000.

The previous prime is 213535027. The next prime is 213535057. The reversal of 213535056 is 650535312.

213535056 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 not an unprimeable number, because it can be changed into a prime (213535057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19381 + ... + 28331.

Almost surely, 2213535056 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 213535056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319693824).

213535056 is an abundant number, since it is smaller than the sum of its proper divisors (425852592).

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

213535056 is a wasteful number, since it uses less digits than its factorization.

213535056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 213535056 is about 14612.8387385887. The cubic root of 213535056 is about 597.7089070684.

The spelling of 213535056 in words is "two hundred thirteen million, five hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3976 5964 7952 8951 11928 17902 23856 26853 35804 53706 62657 71608 107412 125314 143216 187971 214824 250628 375942 429648 501256 635521 751884 1002512 1271042 1503768 1906563 2542084 3007536 3813126 4448647 5084168 7626252 8897294 10168336 13345941 15252504 17794588 26691882 30505008 35589176 53383764 71178352 106767528 213535056