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220321212320 = 255111937178069
BaseRepresentation
bin1100110100110000101…
…0101110011110100000
3210001200120020020012202
43031030022232132200
512102204212243240
6245114132112332
721626523255656
oct3151412563640
9701616206182
10220321212320
118548a642850
12368491656a8
1317a12410a71
14a940cdcdd6
155ae74de315
hex334c2ae7a0

220321212320 has 192 divisors, whose sum is σ = 613871395200. Its totient is φ = 73848360960.

The previous prime is 220321212317. The next prime is 220321212329. The reversal of 220321212320 is 23212123022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220321212292 and 220321212301.

It is not an unprimeable number, because it can be changed into a prime (220321212329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1148246 + ... + 1326314.

It is an arithmetic number, because the mean of its divisors is an integer number (3197246850).

Almost surely, 2220321212320 is an apocalyptic number.

220321212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220321212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306935697600).

220321212320 is an abundant number, since it is smaller than the sum of its proper divisors (393550182880).

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

220321212320 is a wasteful number, since it uses less digits than its factorization.

220321212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178151 (or 178143 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 220321212320 its reverse (23212123022), we get a palindrome (243533335342).

The spelling of 220321212320 in words is "two hundred twenty billion, three hundred twenty-one million, two hundred twelve thousand, three hundred twenty".