Search a number
-
+
210141800 = 235211234153
BaseRepresentation
bin11001000011010…
…00001001101000
3112122102022100122
430201220021220
5412244014200
632504022412
75131114211
oct1441501150
9478368318
10210141800
11a868a710
125a461a08
13346c857b
141dca2408
15136ae385
hexc868268

210141800 has 96 divisors (see below), whose sum is σ = 556303680. Its totient is φ = 73075200.

The previous prime is 210141797. The next prime is 210141821. The reversal of 210141800 is 8141012.

It is a super-2 number, since 2×2101418002 = 88319152214480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48524 + ... + 52676.

It is an arithmetic number, because the mean of its divisors is an integer number (5794830).

Almost surely, 2210141800 is an apocalyptic number.

210141800 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 210141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278151840).

210141800 is an abundant number, since it is smaller than the sum of its proper divisors (346161880).

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

210141800 is a wasteful number, since it uses less digits than its factorization.

210141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 210141800 is about 14496.2684853724. The cubic root of 210141800 is about 594.5259505932.

Adding to 210141800 its reverse (8141012), we get a palindrome (218282812).

The spelling of 210141800 in words is "two hundred ten million, one hundred forty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4153 4600 5060 6325 8306 10120 12650 16612 20765 25300 33224 41530 45683 50600 83060 91366 95519 103825 166120 182732 191038 207650 228415 365464 382076 415300 456830 477595 764152 830600 913660 955190 1050709 1142075 1827320 1910380 2101418 2284150 2387975 3820760 4202836 4568300 4775950 5253545 8405672 9136600 9551900 10507090 19103800 21014180 26267725 42028360 52535450 105070900 210141800