Search a number
-
+
210102200 = 235272111949
BaseRepresentation
bin11001000010111…
…10011110111000
3112122100022000222
430201132132320
5412241232300
632503115212
75130560600
oct1441363670
9478308028
10210102200
11a8662990
125a442b08
13346b3539
141dc91c00
15136a2785
hexc85e7b8

210102200 has 144 divisors (see below), whose sum is σ = 620217000. Its totient is φ = 65452800.

The previous prime is 210102197. The next prime is 210102203. The reversal of 210102200 is 2201012.

Adding to 210102200 its reverse (2201012), we get a palindrome (212303212).

It is an interprime number because it is at equal distance from previous prime (210102197) and next prime (210102203).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210102203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106826 + ... + 108774.

Almost surely, 2210102200 is an apocalyptic number.

210102200 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 210102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310108500).

210102200 is an abundant number, since it is smaller than the sum of its proper divisors (410114800).

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

210102200 is a wasteful number, since it uses less digits than its factorization.

210102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 210102200 is about 14494.9025522768. The cubic root of 210102200 is about 594.4886032613.

The spelling of 210102200 in words is "two hundred ten million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 440 490 539 550 616 700 770 980 1078 1100 1225 1400 1540 1925 1949 1960 2156 2200 2450 2695 3080 3850 3898 4312 4900 5390 7700 7796 9745 9800 10780 13475 13643 15400 15592 19490 21439 21560 26950 27286 38980 42878 48725 53900 54572 68215 77960 85756 95501 97450 107195 107800 109144 136430 150073 171512 191002 194900 214390 272860 300146 341075 382004 389800 428780 477505 535975 545720 600292 682150 750365 764008 857560 955010 1050511 1071950 1200584 1364300 1500730 1910020 2101022 2143900 2387525 2728600 3001460 3751825 3820040 4202044 4287800 4775050 5252555 6002920 7503650 8404088 9550100 10505110 15007300 19100200 21010220 26262775 30014600 42020440 52525550 105051100 210102200