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230211510 = 235591131151
BaseRepresentation
bin11011011100010…
…11111110110110
3121001011221211020
431232023332312
5432413232020
634502122010
75463523404
oct1556137666
9531157736
10230211510
11108a48351
1265120306
1338904639
1422808474
1515325c40
hexdb8bfb6

230211510 has 64 divisors (see below), whose sum is σ = 567336960. Its totient is φ = 59763200.

The previous prime is 230211491. The next prime is 230211511. The reversal of 230211510 is 15112032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 230211510.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230211511) 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 31 ways as a sum of consecutive naturals, for example, 199435 + ... + 200585.

It is an arithmetic number, because the mean of its divisors is an integer number (8864640).

Almost surely, 2230211510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230211510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283668480).

230211510 is an abundant number, since it is smaller than the sum of its proper divisors (337125450).

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

230211510 is a wasteful number, since it uses less digits than its factorization.

230211510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 230211510 is about 15172.7225638644. The cubic root of 230211510 is about 612.8803224519.

Adding to 230211510 its reverse (15112032), we get a palindrome (245323542).

It can be divided in two parts, 23021 and 1510, that added together give a triangular number (24531 = T221).

The spelling of 230211510 in words is "two hundred thirty million, two hundred eleven thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 113 118 177 226 295 339 354 565 590 678 885 1130 1151 1695 1770 2302 3390 3453 5755 6667 6906 11510 13334 17265 20001 33335 34530 40002 66670 67909 100005 130063 135818 200010 203727 260126 339545 390189 407454 650315 679090 780378 1018635 1300630 1950945 2037270 3901890 7673717 15347434 23021151 38368585 46042302 76737170 115105755 230211510