Search a number
-
+
210231032 = 231183107269
BaseRepresentation
bin11001000011111…
…01111011111000
3112122120211202112
430201331323320
5412304343112
632505551452
75131635314
oct1441757370
9478524675
10210231032
11a8740760
125a4a5588
133472a07b
141dcc6b44
15136caa22
hexc87def8

210231032 has 64 divisors (see below), whose sum is σ = 440899200. Its totient is φ = 93178240.

The previous prime is 210231013. The next prime is 210231053. The reversal of 210231032 is 230132012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210230998 and 210231016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781394 + ... + 781662.

It is an arithmetic number, because the mean of its divisors is an integer number (6889050).

Almost surely, 2210231032 is an apocalyptic number.

210231032 is a gapful number since it is divisible by the number (22) 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 210231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220449600).

210231032 is an abundant number, since it is smaller than the sum of its proper divisors (230668168).

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

210231032 is a wasteful number, since it uses less digits than its factorization.

210231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 210231032 is about 14499.3459162819. The cubic root of 210231032 is about 594.6100893865.

Adding to 210231032 its reverse (230132012), we get a palindrome (440363044).

The spelling of 210231032 in words is "two hundred ten million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 83 88 107 166 214 269 332 428 538 664 856 913 1076 1177 1826 2152 2354 2959 3652 4708 5918 7304 8881 9416 11836 17762 22327 23672 28783 35524 44654 57566 71048 89308 97691 115132 178616 195382 230264 245597 316613 390764 491194 633226 781528 982388 1266452 1964776 2388989 2532904 4777978 9555956 19111912 26278879 52557758 105115516 210231032