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220312331232 = 253717109176927
BaseRepresentation
bin1100110100101110100…
…0110110001111100000
3210001122221112000122120
43031023220312033200
512102144424044412
6245113213504240
721626354626410
oct3151350661740
9701587460576
10220312331232
1185485627304
12368461a2080
1317a10621596
14a93da6a640
155ae6837b8c
hex334ba363e0

220312331232 has 192 divisors, whose sum is σ = 706239959040. Its totient is φ = 58699800576.

The previous prime is 220312331227. The next prime is 220312331237. The reversal of 220312331232 is 232133213022.

220312331232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220312331227) and next prime (220312331237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220312331237) 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, 1156753 + ... + 1333679.

It is an arithmetic number, because the mean of its divisors is an integer number (3678333120).

Almost surely, 2220312331232 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 220312331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353119979520).

220312331232 is an abundant number, since it is smaller than the sum of its proper divisors (485927627808).

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

220312331232 is a wasteful number, since it uses less digits than its factorization.

220312331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177073 (or 177065 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 220312331232 its reverse (232133213022), we get a palindrome (452445544254).

The spelling of 220312331232 in words is "two hundred twenty billion, three hundred twelve million, three hundred thirty-one thousand, two hundred thirty-two".