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220801389512 = 2311413732
BaseRepresentation
bin1100110110100011001…
…0011101001111001000
3210002221000202202111012
43031220302131033020
512104200123431022
6245233524023052
721644443562324
oct3155062351710
9702830682435
10220801389512
11857066a0000
1236961b31a88
1317a8aa45292
14a9889b4984
155b2473dde2
hex3368c9d3c8

220801389512 has 60 divisors (see below), whose sum is σ = 455731962225. Its totient is φ = 100291169440.

The previous prime is 220801389481. The next prime is 220801389541. The reversal of 220801389512 is 215983108022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220801389512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 134062893316 + 86738496196 = 366146^2 + 294514^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332266.

It is a super-2 number, since 2×2208013895122 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220801389512.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 160816058 + ... + 160817430.

Almost surely, 2220801389512 is an apocalyptic number.

220801389512 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 220801389512

220801389512 is an abundant number, since it is smaller than the sum of its proper divisors (234930572713).

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

220801389512 is an frugal number, since it uses more digits than its factorization.

220801389512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 220801389512 in words is "two hundred twenty billion, eight hundred one million, three hundred eighty-nine thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 1373 2662 2746 5324 5492 10648 10984 14641 15103 29282 30206 58564 60412 117128 120824 166133 332266 664532 1329064 1827463 1885129 3654926 3770258 7309852 7540516 14619704 15081032 20102093 20736419 40204186 41472838 80408372 82945676 160816744 165891352 228100609 456201218 912402436 1824804872 2509106699 5018213398 10036426796 20072853592 27600173689 55200347378 110400694756 220801389512