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230211232 = 2523479653
BaseRepresentation
bin11011011100010…
…11111010100000
3121001011221102221
431232023322200
5432413224412
634502120424
75463522526
oct1556137240
9531157387
10230211232
11108a48119
1265120114
1338904484
1422808316
1515325b07
hexdb8bea0

230211232 has 48 divisors (see below), whose sum is σ = 474647040. Its totient is φ = 109702912.

The previous prime is 230211221. The next prime is 230211259. The reversal of 230211232 is 232112032.

It is a super-2 number, since 2×2302112322 = 105994422677915648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352218 + ... + 352870.

It is an arithmetic number, because the mean of its divisors is an integer number (9888480).

Almost surely, 2230211232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237323520).

230211232 is an abundant number, since it is smaller than the sum of its proper divisors (244435808).

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

230211232 is a wasteful number, since it uses less digits than its factorization.

230211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 230211232 is about 15172.7134026844. The cubic root of 230211232 is about 612.8800757500.

Adding to 230211232 its reverse (232112032), we get a palindrome (462323264).

The spelling of 230211232 in words is "two hundred thirty million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 479 653 736 958 1306 1916 2612 3832 5224 7664 10448 11017 15019 15328 20896 22034 30038 44068 60076 88136 120152 176272 240304 312787 352544 480608 625574 1251148 2502296 5004592 7194101 10009184 14388202 28776404 57552808 115105616 230211232