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220242023532 = 223243443321163
BaseRepresentation
bin1100110100011101110…
…0101001010001101100
3210001111001020000121200
43031013130221101230
512102023424223112
6245102222525500
721624542211606
oct3150734512154
9701431200550
10220242023532
1185449976073
1236826736890
13179cbba59ab
14a9345a8176
155ae059acdc
hex334772946c

220242023532 has 72 divisors (see below), whose sum is σ = 570957651264. Its totient is φ = 71544616416.

The previous prime is 220242023513. The next prime is 220242023537. The reversal of 220242023532 is 235320242022.

220242023532 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 420 + 235 + 3 + 2 = 666.

220242023532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220242023496 and 220242023505.

It is not an unprimeable number, because it can be changed into a prime (220242023537) 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 23 ways as a sum of consecutive naturals, for example, 525183 + ... + 846345.

Almost surely, 2220242023532 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 220242023532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285478825632).

220242023532 is an abundant number, since it is smaller than the sum of its proper divisors (350715627732).

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

220242023532 is a wasteful number, since it uses less digits than its factorization.

220242023532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321659 (or 321654 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 220242023532 its reverse (235320242022), we get a palindrome (455562265554).

The spelling of 220242023532 in words is "two hundred twenty billion, two hundred forty-two million, twenty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 443 516 774 886 1329 1548 1772 2658 3987 5316 7974 15948 19049 38098 57147 76196 114294 171441 228588 321163 342882 642326 685764 963489 1284652 1926978 2890467 3853956 5780934 11561868 13810009 27620018 41430027 55240036 82860054 124290081 142275209 165720108 248580162 284550418 426825627 497160324 569100836 853651254 1280476881 1707302508 2560953762 5121907524 6117833987 12235667974 18353501961 24471335948 36707003922 55060505883 73414007844 110121011766 220242023532