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2231003232 = 253265311863
BaseRepresentation
bin1000010011111010…
…0110100001100000
312202111000201002100
42010332212201200
514032114100412
61005214050400
7106200133413
oct20476464140
95674021070
102231003232
11a45385827
125231a9a00
13297298173
1417242bb7a
15d0ce2edc
hex84fa6860

2231003232 has 72 divisors (see below), whose sum is σ = 6354666864. Its totient is φ = 742466304.

The previous prime is 2231003219. The next prime is 2231003249. The reversal of 2231003232 is 2323001322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×22310032323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 182133 + ... + 193995.

It is an arithmetic number, because the mean of its divisors is an integer number (88259262).

Almost surely, 22231003232 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 2231003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177333432).

2231003232 is an abundant number, since it is smaller than the sum of its proper divisors (4123663632).

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

2231003232 is a wasteful number, since it uses less digits than its factorization.

2231003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12532 (or 12521 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2231003232 is about 47233.4969274984. The cubic root of 2231003232 is about 1306.6724459460.

Adding to 2231003232 its reverse (2323001322), we get a palindrome (4554004554).

The spelling of 2231003232 in words is "two billion, two hundred thirty-one million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 653 1306 1959 2612 3918 5224 5877 7836 10448 11754 11863 15672 20896 23508 23726 31344 35589 47016 47452 62688 71178 94032 94904 106767 142356 188064 189808 213534 284712 379616 427068 569424 854136 1138848 1708272 3416544 7746539 15493078 23239617 30986156 46479234 61972312 69718851 92958468 123944624 139437702 185916936 247889248 278875404 371833872 557750808 743667744 1115501616 2231003232