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213623046 = 232721331601
BaseRepresentation
bin11001011101110…
…10000100000110
3112212222011201200
430232322010012
5414141414141
633110403330
75202523500
oct1456720406
9485864650
10213623046
11aa64817a
125b660546
1335346c90
142052ad70
1513b4aab6
hexcbba106

213623046 has 144 divisors (see below), whose sum is σ = 599534208. Its totient is φ = 54432000.

The previous prime is 213623041. The next prime is 213623063. The reversal of 213623046 is 640326312.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

213623046 is an undulating number in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213623041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355146 + ... + 355746.

It is an arithmetic number, because the mean of its divisors is an integer number (4163432).

Almost surely, 2213623046 is an apocalyptic number.

213623046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213623046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299767104).

213623046 is an abundant number, since it is smaller than the sum of its proper divisors (385911162).

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

213623046 is a wasteful number, since it uses less digits than its factorization.

213623046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 213623046 is about 14615.8491371524. The cubic root of 213623046 is about 597.7909938002.

Adding to 213623046 its reverse (640326312), we get a palindrome (853949358).

The spelling of 213623046 in words is "two hundred thirteen million, six hundred twenty-three thousand, forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 49 62 63 78 91 93 98 117 126 147 182 186 217 234 273 279 294 403 434 441 546 558 601 637 651 806 819 882 1202 1209 1274 1302 1519 1638 1803 1911 1953 2418 2821 3038 3606 3627 3822 3906 4207 4557 5409 5642 5733 7254 7813 8414 8463 9114 10818 11466 12621 13671 15626 16926 18631 19747 23439 25242 25389 27342 29449 37262 37863 39494 46878 50778 54691 55893 58898 59241 70317 75726 88347 109382 111786 118482 130417 140634 164073 167679 176694 177723 242203 260834 265041 328146 335358 355446 382837 391251 484406 492219 530082 726609 765674 782502 912919 984438 1148511 1173753 1453218 1695421 1825838 2179827 2297022 2347506 2738757 3390842 3445533 4359654 5086263 5477514 6891066 8216271 10172526 11867947 15258789 16432542 23735894 30517578 35603841 71207682 106811523 213623046