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232210230 = 23577913997
BaseRepresentation
bin11011101011100…
…11111100110110
3121011221111112220
431311303330312
5433421211410
635013023210
75516516520
oct1565637466
9534844486
10232210230
1110a092a8a
1265924b06
1339154305
1422ba8a10
15155bd070
hexdd73f36

232210230 has 64 divisors (see below), whose sum is σ = 645027840. Its totient is φ = 52401024.

The previous prime is 232210213. The next prime is 232210247. The reversal of 232210230 is 32012232.

It is an interprime number because it is at equal distance from previous prime (232210213) and next prime (232210247).

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

It is a congruent number.

It is an unprimeable number.

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, 9592 + ... + 23588.

It is an arithmetic number, because the mean of its divisors is an integer number (10078560).

Almost surely, 2232210230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232210230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322513920).

232210230 is an abundant number, since it is smaller than the sum of its proper divisors (412817610).

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

232210230 is a wasteful number, since it uses less digits than its factorization.

232210230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14093.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232210230 is about 15238.4457868905. The cubic root of 232210230 is about 614.6489105882.

Adding to 232210230 its reverse (32012232), we get a palindrome (264222462).

It can be divided in two parts, 23 and 2210230, that added together give a triangular number (2210253 = T2102).

The spelling of 232210230 in words is "two hundred thirty-two million, two hundred ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 395 474 553 790 1106 1185 1659 2370 2765 3318 5530 8295 13997 16590 27994 41991 69985 83982 97979 139970 195958 209955 293937 419910 489895 587874 979790 1105763 1469685 2211526 2939370 3317289 5528815 6634578 7740341 11057630 15480682 16586445 23221023 33172890 38701705 46442046 77403410 116105115 232210230