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213025356 = 223323191449
BaseRepresentation
bin11001011001010…
…00001001001100
3112211211210212000
430230220021030
5414013302411
633045512300
75164454115
oct1454501114
9484753760
10213025356
11aa27a115
125b412690
1335197c0b
142041320c
1513a7d956
hexcb2824c

213025356 has 96 divisors (see below), whose sum is σ = 580608000. Its totient is φ = 67415040.

The previous prime is 213025343. The next prime is 213025369. The reversal of 213025356 is 653520312.

213025356 is a `hidden beast` number, since 2 + 1 + 302 + 5 + 356 = 666.

It is an interprime number because it is at equal distance from previous prime (213025343) and next prime (213025369).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474220 + ... + 474668.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2213025356 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 213025356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

213025356 is an abundant number, since it is smaller than the sum of its proper divisors (367582644).

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

213025356 is a wasteful number, since it uses less digits than its factorization.

213025356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 213025356 is about 14595.3881757218. The cubic root of 213025356 is about 597.2329587545.

Adding to 213025356 its reverse (653520312), we get a palindrome (866545668).

The spelling of 213025356 in words is "two hundred thirteen million, twenty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 191 207 276 382 414 449 573 621 764 828 898 1146 1242 1347 1719 1796 2292 2484 2694 3438 4041 4393 5157 5388 6876 8082 8786 10314 10327 12123 13179 16164 17572 20628 20654 24246 26358 30981 39537 41308 48492 52716 61962 79074 85759 92943 118611 123924 158148 171518 185886 237222 257277 278829 343036 371772 474444 514554 557658 771831 1029108 1115316 1543662 1972457 2315493 3087324 3944914 4630986 5917371 7889828 9261972 11834742 17752113 23669484 35504226 53256339 71008452 106512678 213025356