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212423160 = 233517313359
BaseRepresentation
bin11001010100101…
…01000111111000
3112210201012210110
430222111013320
5413340020120
633024544320
75156365335
oct1452250770
9483635713
10212423160
11a99a8734
125b1820a0
1335016aa1
14202d798c
15139b02e0
hexca951f8

212423160 has 128 divisors (see below), whose sum is σ = 696729600. Its totient is φ = 51578880.

The previous prime is 212423131. The next prime is 212423161. The reversal of 212423160 is 61324212.

212423160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212423161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61561 + ... + 64919.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2212423160 is an apocalyptic number.

212423160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212423160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

212423160 is an abundant number, since it is smaller than the sum of its proper divisors (484306440).

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

212423160 is a wasteful number, since it uses less digits than its factorization.

212423160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 212423160 is about 14574.7439085563. The cubic root of 212423160 is about 596.6696600386.

Adding to 212423160 its reverse (61324212), we get a palindrome (273747372).

The spelling of 212423160 in words is "two hundred twelve million, four hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 85 93 102 120 124 136 155 170 186 204 248 255 310 340 372 408 465 510 527 620 680 744 930 1020 1054 1240 1581 1860 2040 2108 2635 3162 3359 3720 4216 5270 6324 6718 7905 10077 10540 12648 13436 15810 16795 20154 21080 26872 31620 33590 40308 50385 57103 63240 67180 80616 100770 104129 114206 134360 171309 201540 208258 228412 285515 312387 342618 403080 416516 456824 520645 571030 624774 685236 833032 856545 1041290 1142060 1249548 1370472 1561935 1713090 1770193 2082580 2284120 2499096 3123870 3426180 3540386 4165160 5310579 6247740 6852360 7080772 8850965 10621158 12495480 14161544 17701930 21242316 26552895 35403860 42484632 53105790 70807720 106211580 212423160