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220442534352 = 24321657923869
BaseRepresentation
bin1100110101001101100…
…1100010000111010000
3210002000000112000202100
43031103121202013100
512102431242044402
6245134144320400
721632525424345
oct3152331420720
9702000460670
10220442534352
1185542077897
1236881913100
1317a315ab651
14a9530807cc
155b02ea671c
hex33536621d0

220442534352 has 60 divisors (see below), whose sum is σ = 617305913380. Its totient is φ = 73436419584.

The previous prime is 220442534327. The next prime is 220442534357. The reversal of 220442534352 is 253435244022.

220442534352 is a `hidden beast` number, since 220 + 4 + 42 + 5 + 343 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91032544656 + 129409989696 = 301716^2 + 359736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220442534357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223327 + ... + 700542.

Almost surely, 2220442534352 is an apocalyptic number.

It is an amenable number.

220442534352 is an abundant number, since it is smaller than the sum of its proper divisors (396863379028).

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

220442534352 is a wasteful number, since it uses less digits than its factorization.

220442534352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925540 (or 925531 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 220442534352 its reverse (253435244022), we get a palindrome (473877778374).

The spelling of 220442534352 in words is "two hundred twenty billion, four hundred forty-two million, five hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1657 3314 4971 6628 9942 13256 14913 19884 26512 29826 39768 59652 79536 119304 238608 923869 1847738 2771607 3695476 5543214 7390952 8314821 11086428 14781904 16629642 22172856 33259284 44345712 66518568 133037136 1530850933 3061701866 4592552799 6123403732 9185105598 12246807464 13777658397 18370211196 24493614928 27555316794 36740422392 55110633588 73480844784 110221267176 220442534352