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213730146 = 232783107191
BaseRepresentation
bin11001011110101…
…00001101100010
3112220011121122100
430233110031202
5414203331041
633112551230
75203450650
oct1457241542
9486147570
10213730146
11aa710693
125b6b2516
1335383956
1420557dd0
1513b6c6b6
hexcbd4362

213730146 has 96 divisors (see below), whose sum is σ = 543449088. Its totient is φ = 59453280.

The previous prime is 213730141. The next prime is 213730147. The reversal of 213730146 is 641037312.

213730146 = T1945 + T1946 + ... + T2051.

213730146 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 (213730141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1118911 + ... + 1119101.

It is an arithmetic number, because the mean of its divisors is an integer number (5660928).

Almost surely, 2213730146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213730146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271724544).

213730146 is an abundant number, since it is smaller than the sum of its proper divisors (329718942).

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

213730146 is a wasteful number, since it uses less digits than its factorization.

213730146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 213730146 is about 14619.5125089724. The cubic root of 213730146 is about 597.8908780281.

Adding to 213730146 its reverse (641037312), we get a palindrome (854767458).

The spelling of 213730146 in words is "two hundred thirteen million, seven hundred thirty thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 107 126 166 191 214 249 321 382 498 573 581 642 747 749 963 1146 1162 1337 1494 1498 1719 1743 1926 2247 2674 3438 3486 4011 4494 5229 6741 8022 8881 10458 12033 13482 15853 17762 20437 24066 26643 31706 40874 47559 53286 61311 62167 79929 95118 110971 122622 124334 142677 143059 159858 183933 186501 221942 285354 286118 332913 367866 373002 429177 559503 665826 858354 998739 1119006 1287531 1696271 1997478 2575062 3392542 5088813 10177626 11873897 15266439 23747794 30532878 35621691 71243382 106865073 213730146