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220321992 = 23311899377
BaseRepresentation
bin11010010000111…
…01100011001000
3120100120111221210
431020131203020
5422400300432
633510133120
75313464112
oct1510354310
9510514853
10220321992
111034031a0
12619511a0
1336851157
14213923b2
15145208cc
hexd21d8c8

220321992 has 64 divisors (see below), whose sum is σ = 607694400. Its totient is φ = 66007040.

The previous prime is 220321963. The next prime is 220321999. The reversal of 220321992 is 299123022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220321999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18808 + ... + 28184.

It is an arithmetic number, because the mean of its divisors is an integer number (9495225).

Almost surely, 2220321992 is an apocalyptic number.

220321992 is a gapful number since it is divisible by the number (22) 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 220321992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303847200).

220321992 is an abundant number, since it is smaller than the sum of its proper divisors (387372408).

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

220321992 is a wasteful number, since it uses less digits than its factorization.

220321992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9486 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 220321992 is about 14843.2473535948. The cubic root of 220321992 is about 603.9754459852.

The spelling of 220321992 in words is "two hundred twenty million, three hundred twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 979 1068 1958 2136 2937 3916 5874 7832 9377 11748 18754 23496 28131 37508 56262 75016 103147 112524 206294 225048 309441 412588 618882 825176 834553 1237764 1669106 2475528 2503659 3338212 5007318 6676424 9180083 10014636 18360166 20029272 27540249 36720332 55080498 73440664 110160996 220321992