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212341506 = 231331137641
BaseRepresentation
bin11001010100000…
…01001100000010
3112210120001210020
430222001030002
5413324412011
633023114310
75155605306
oct1452011402
9483501706
10212341506
11a9952353
125b142996
1334cb8880
14202b5d06
1513996006
hexca81302

212341506 has 64 divisors (see below), whose sum is σ = 476292096. Its totient is φ = 62668800.

The previous prime is 212341489. The next prime is 212341513. The reversal of 212341506 is 605143212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330946 + ... + 331586.

It is an arithmetic number, because the mean of its divisors is an integer number (7442064).

Almost surely, 2212341506 is an apocalyptic number.

212341506 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 212341506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238146048).

212341506 is an abundant number, since it is smaller than the sum of its proper divisors (263950590).

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

212341506 is a wasteful number, since it uses less digits than its factorization.

212341506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 212341506 is about 14571.9424237128. The cubic root of 212341506 is about 596.5931983377.

Adding to 212341506 its reverse (605143212), we get a palindrome (817484718).

The spelling of 212341506 in words is "two hundred twelve million, three hundred forty-one thousand, five hundred six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 137 186 274 403 411 641 806 822 1209 1282 1781 1923 2418 3562 3846 4247 5343 8333 8494 10686 12741 16666 19871 24999 25482 39742 49998 55211 59613 87817 110422 119226 165633 175634 258323 263451 331266 516646 526902 774969 1141621 1549938 2283242 2722327 3424863 5444654 6849726 8166981 16333962 35390251 70780502 106170753 212341506