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420229704285 = 32553176196941
BaseRepresentation
bin1100001110101111010…
…01000110101001011101
31111011200112022211021200
412013113221012221131
523341112301014120
6521014552550113
742234453356466
oct6072751065135
91434615284250
10420229704285
11152244792676
126953a0b2339
13308207a0771
14164a6b9dd6d
15ade78d9e90
hex61d7a46a5d

420229704285 has 24 divisors (see below), whose sum is σ = 742141519704. Its totient is φ = 219893781120.

The previous prime is 420229704281. The next prime is 420229704289. The reversal of 420229704285 is 582407922024.

420229704285 is a `hidden beast` number, since 420 + 22 + 97 + 0 + 42 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (420229704281) and next prime (420229704289).

It can be written as a sum of positive squares in 4 ways, for example, as 3465205956 + 416764498329 = 58866^2 + 645573^2 .

It is not a de Polignac number, because 420229704285 - 22 = 420229704281 is a prime.

It is a super-2 number, since 2×4202297042852 (a number of 24 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420229704285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420229704281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88096086 + ... + 88100855.

It is an arithmetic number, because the mean of its divisors is an integer number (30922563321).

Almost surely, 2420229704285 is an apocalyptic number.

420229704285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420229704285 is a deficient number, since it is larger than the sum of its proper divisors (321911815419).

420229704285 is a wasteful number, since it uses less digits than its factorization.

420229704285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176197005 (or 176197002 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 420229704285 in words is "four hundred twenty billion, two hundred twenty-nine million, seven hundred four thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 176196941 528590823 880984705 1585772469 2642954115 7928862345 9338437873 28015313619 46692189365 84045940857 140076568095 420229704285