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213331734 = 232711198101
BaseRepresentation
bin11001011011100…
…10111100010110
3112212102101010100
430231302330112
5414103103414
633100234530
75200201260
oct1455627426
9485371110
10213331734
11aa469320
125b53ba46
13352744c5
1420492b30
1513ade609
hexcb72f16

213331734 has 96 divisors (see below), whose sum is σ = 606677760. Its totient is φ = 52488000.

The previous prime is 213331717. The next prime is 213331747. The reversal of 213331734 is 437133312.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213331698 and 213331707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22284 + ... + 30384.

It is an arithmetic number, because the mean of its divisors is an integer number (6319560).

Almost surely, 2213331734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213331734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303338880).

213331734 is an abundant number, since it is smaller than the sum of its proper divisors (393346026).

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

213331734 is a wasteful number, since it uses less digits than its factorization.

213331734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8146 (or 8143 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 213331734 is about 14605.8801172678. The cubic root of 213331734 is about 597.5191396914.

The spelling of 213331734 in words is "two hundred thirteen million, three hundred thirty-one thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 798 1197 1254 1386 1463 1881 2394 2926 3762 4389 8101 8778 13167 16202 24303 26334 48606 56707 72909 89111 113414 145818 153919 170121 178222 267333 307838 340242 461757 510363 534666 623777 801999 923514 1020726 1077433 1247554 1385271 1603998 1693109 1871331 2154866 2770542 3232299 3386218 3742662 5079327 5613993 6464598 9696897 10158654 11227986 11851763 15237981 19393794 23703526 30475962 35555289 71110578 106665867 213331734