Search a number
-
+
210031206 = 237111971337
BaseRepresentation
bin11001000010011…
…01001001100110
3112122012200122120
430201031021212
5412231444311
632501410410
75130143610
oct1441151146
9478180576
10210031206
11a8614610
125a409a06
133468a128
141dc73db0
151368b706
hexc84d266

210031206 has 128 divisors (see below), whose sum is σ = 560701440. Its totient is φ = 50803200.

The previous prime is 210031201. The next prime is 210031207. The reversal of 210031206 is 602130012.

It is a super-2 number, since 2×2100312062 = 88226214987628872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210031201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 623070 + ... + 623406.

It is an arithmetic number, because the mean of its divisors is an integer number (4380480).

Almost surely, 2210031206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210031206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280350720).

210031206 is an abundant number, since it is smaller than the sum of its proper divisors (350670234).

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

210031206 is a wasteful number, since it uses less digits than its factorization.

210031206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 210031206 is about 14492.4534154849. The cubic root of 210031206 is about 594.4216360448.

Adding to 210031206 its reverse (602130012), we get a palindrome (812161218).

The spelling of 210031206 in words is "two hundred ten million, thirty-one thousand, two hundred six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 71 77 114 133 142 154 209 213 231 266 337 399 418 426 462 497 627 674 781 798 994 1011 1254 1349 1463 1491 1562 2022 2343 2359 2698 2926 2982 3707 4047 4389 4686 4718 5467 6403 7077 7414 8094 8778 9443 10934 11121 12806 14154 14839 16401 18886 19209 22242 23927 25949 28329 29678 32802 38418 44517 44821 47854 51898 56658 70433 71781 77847 89034 89642 103873 134463 140866 143562 155694 167489 207746 211299 263197 268926 311619 334978 422598 454613 493031 502467 526394 623238 789591 909226 986062 1004934 1363839 1479093 1579182 1842379 2727678 2958186 3182291 3684758 5000743 5527137 6364582 9546873 10001486 11054274 15002229 19093746 30004458 35005201 70010402 105015603 210031206