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220053280995 = 32541211565261
BaseRepresentation
bin1100110011110000110…
…0101001100011100011
3210000222220001220112100
43030330030221203203
512101132114442440
6245031401301443
721620061012042
oct3147414514343
9700886056470
10220053280995
1185362381aa9
1236793494883
131799ba60712
14a9174b6559
155acdc17230
hex333c3298e3

220053280995 has 48 divisors (see below), whose sum is σ = 392581242144. Its totient is φ = 113956416000.

The previous prime is 220053280991. The next prime is 220053281051. The reversal of 220053280995 is 599082350022.

220053280995 is a `hidden beast` number, since 2 + 20 + 0 + 532 + 8 + 0 + 9 + 95 = 666.

220053280995 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220053280995 - 22 = 220053280991 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 220053280995.

It is not an unprimeable number, because it can be changed into a prime (220053280991) 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 47 ways as a sum of consecutive naturals, for example, 106665 + ... + 671925.

It is an arithmetic number, because the mean of its divisors is an integer number (8178775878).

Almost surely, 2220053280995 is an apocalyptic number.

220053280995 is a deficient number, since it is larger than the sum of its proper divisors (172527961149).

220053280995 is a wasteful number, since it uses less digits than its factorization.

220053280995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565524 (or 565521 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 220053280995 in words is "two hundred twenty billion, fifty-three million, two hundred eighty thousand, nine hundred ninety-five".

Divisors: 1 3 5 9 15 41 45 123 205 211 369 615 633 1055 1845 1899 3165 8651 9495 25953 43255 77859 129765 389295 565261 1695783 2826305 5087349 8478915 23175701 25436745 69527103 115878505 119270071 208581309 347635515 357810213 596350355 1042906545 1073430639 1789051065 4890072911 5367153195 14670218733 24450364555 44010656199 73351093665 220053280995