Search a number
-
+
210201200208 = 24327382924121
BaseRepresentation
bin1100001111000011110…
…1111100011001010000
3202002120021122100102100
43003300331330121100
511420443001401313
6240322021120400
721120660502326
oct3036075743120
9662507570370
10210201200208
118116710897a
12348a3b59100
1316a8b8c400c
14a260c59d16
155703d27173
hex30f0f7c650

210201200208 has 120 divisors (see below), whose sum is σ = 597074015720. Its totient is φ = 69021020160.

The previous prime is 210201200201. The next prime is 210201200219. The reversal of 210201200208 is 802002102012.

It is a happy number.

210201200208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25170457104 + 185030743104 = 158652^2 + 430152^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210201200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8702388 + ... + 8726508.

Almost surely, 2210201200208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210201200208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298537007860).

210201200208 is an abundant number, since it is smaller than the sum of its proper divisors (386872815512).

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

210201200208 is a wasteful number, since it uses less digits than its factorization.

210201200208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25037 (or 25028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 210201200208 in words is "two hundred ten billion, two hundred one million, two hundred thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 829 876 1168 1314 1658 1752 2487 2628 3316 3504 4974 5256 6632 7461 9948 10512 13264 14922 19896 24121 29844 39792 48242 59688 60517 72363 96484 119376 121034 144726 181551 192968 217089 242068 289452 363102 385936 434178 484136 544653 578904 726204 868356 968272 1089306 1157808 1452408 1736712 1760833 2178612 2904816 3473424 3521666 4357224 5282499 7043332 8714448 10564998 14086664 15847497 19996309 21129996 28173328 31694994 39992618 42259992 59988927 63389988 79985236 84519984 119977854 126779976 159970472 179966781 239955708 253559952 319940944 359933562 479911416 719867124 959822832 1439734248 1459730557 2879468496 2919461114 4379191671 5838922228 8758383342 11677844456 13137575013 17516766684 23355688912 26275150026 35033533368 52550300052 70067066736 105100600104 210201200208