Search a number
-
+
102210200 = 2352796469
BaseRepresentation
bin1100001011110…
…01101010011000
321010022211000222
412011321222120
5202131211300
614050415212
72350525631
oct605715230
9233284028
10102210200
1152771044
122a291508
1318238811
14d808888
158e8e785
hex6179a98

102210200 has 48 divisors (see below), whose sum is σ = 240684000. Its totient is φ = 40360320.

The previous prime is 102210191. The next prime is 102210209. The reversal of 102210200 is 2012201.

It is an interprime number because it is at equal distance from previous prime (102210191) and next prime (102210209).

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 (102210209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12566 + ... + 19034.

It is an arithmetic number, because the mean of its divisors is an integer number (5014250).

Almost surely, 2102210200 is an apocalyptic number.

102210200 is a gapful number since it is divisible by the number (10) 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 102210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120342000).

102210200 is an abundant number, since it is smaller than the sum of its proper divisors (138473800).

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

102210200 is a wasteful number, since it uses less digits than its factorization.

102210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6555 counting only the distinct ones).

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

The square root of 102210200 is about 10109.9060331934. The cubic root of 102210200 is about 467.5536080060.

Adding to 102210200 its reverse (2012201), we get a palindrome (104222401).

The spelling of 102210200 in words is "one hundred two million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3160 3950 6469 7900 12938 15800 25876 32345 51752 64690 129380 161725 258760 323450 511051 646900 1022102 1293800 2044204 2555255 4088408 5110510 10221020 12776275 20442040 25552550 51105100 102210200